UsefulFormula1400+ Useful Formulas for Everyday Life

Formula Project (Docs)

Important Sections of Human Life & Business (with Formula Focus)

1. Personal Finance & Money Management

2. Health & Fitness

3. Education & Learning

4. Business & Entrepreneurship

5. Work & Productivity

6. Science & Technology

7. Construction & Engineering

8. Travel & Transportation

9. Household & Lifestyle

10. Real Estate & Property

11. Agriculture & Farming

12. Environment & Climate

13. Sports & Recreation

14. Human Relationships & Social Life

📊 100 Formulas in Personal Finance & Money Management

1. Savings & Budgeting (10 formulas)

  1. Monthly Savings = Income − Expenses
  2. Emergency Fund = 6 × Monthly Expenses
  3. 50/30/20 Rule = (50% Needs, 30% Wants, 20% Savings)
  4. Future Value of Savings = Present Value × (1 + r)^t
  5. Required Monthly Savings = Target Amount ÷ Months Left
  6. Time to Reach Goal = ln(FV ÷ PV) ÷ ln(1 + r)
  7. Inflation Adjusted Savings = Nominal Savings ÷ (1 + Inflation Rate)^t
  8. Real Value of Money = Nominal Value ÷ CPI
  9. Savings Rate % = (Savings ÷ Income) × 100
  10. Net Worth = Assets − Liabilities

2. Loan & Debt Management (15 formulas)

  1. Loan EMI = [P × r × (1+r)^n] ÷ [(1+r)^n − 1]
  2. Loan Interest = Principal × Rate × Time
  3. Outstanding Loan Balance = EMI × n_remaining
  4. Debt-to-Income Ratio = (Monthly Debt Payments ÷ Monthly Income) × 100
  5. Loan-to-Value Ratio (LTV) = Loan Amount ÷ Asset Value × 100
  6. Effective Interest Rate = (1 + (i/n))^n − 1
  7. APR = [(Total Interest + Fees) ÷ Loan Amount ÷ Years] × 100
  8. Simple Loan Payoff Time = Debt ÷ Monthly Payment
  9. Amortization (nth payment interest) = Remaining Principal × Rate ÷ 12
  10. Credit Card Interest = Balance × (APR ÷ 12)
  11. Snowball Payoff Order = Smallest Debt → Largest
  12. Avalanche Payoff Order = Highest Interest → Lowest
  13. Debt Coverage Ratio = Net Income ÷ Total Debt Payment
  14. Balloon Payment = Loan Principal − (EMI × Paid Installments)
  15. Mortgage Affordability = 28% × Gross Monthly Income

3. Investment (Stock, Bonds, Mutual Funds) (15 formulas)

  1. ROI = (Final Value − Initial Value) ÷ Initial Value × 100
  2. CAGR = [(FV ÷ PV)^(1/t) − 1] × 100
  3. Dividend Yield = Annual Dividend ÷ Share Price × 100
  4. EPS = Net Income ÷ Outstanding Shares
  5. P/E Ratio = Share Price ÷ EPS
  6. Market Capitalization = Share Price × Shares Outstanding
  7. Price-to-Book Ratio = Share Price ÷ (Assets − Liabilities per Share)
  8. Sharpe Ratio = (Portfolio Return − Risk-Free Rate) ÷ Std Dev
  9. Bond Yield = Annual Coupon ÷ Bond Price × 100
  10. Yield to Maturity (YTM) ≈ [C + (F − P)/n] ÷ [(F+P)/2]
  11. Net Asset Value (NAV) = (Assets − Liabilities) ÷ Units
  12. Alpha = Portfolio Return − Benchmark Return
  13. Beta = Covariance(Ra,Rm) ÷ Variance(Rm)
  14. Annualized Return = (1+Return)^(1/t) − 1
  15. Rule of 72 = 72 ÷ Interest Rate

4. Retirement Planning (10 formulas)

  1. Retirement Corpus = Annual Expense × Retirement Years × (1+Inflation)^t
  2. Safe Withdrawal Rate = 4% × Retirement Corpus
  3. Future Value of Annuity = P × [(1+r)^n − 1] ÷ r
  4. Present Value of Annuity = P × [1 − (1+r)^−n] ÷ r
  5. Pension Value = Annual Pension ÷ Discount Rate
  6. Required Retirement Savings = (Annual Expenses − Pension) × Years
  7. Inflation Adjusted Corpus = Corpus ÷ (1+Inflation)^t
  8. Social Security Replacement Rate ≈ 40% × Final Salary
  9. Annuity Payout = PV ÷ Annuity Factor
  10. Longevity Risk Buffer = 25% Extra Savings

5. Insurance & Risk (10 formulas)

  1. Insurance Coverage Ratio = Insurance ÷ Annual Income
  2. Human Life Value (HLV) = Annual Income × Years Left till Retirement
  3. Premium = Coverage × Risk Factor × Term ÷ 1000
  4. Sum Assured = Annual Expenses × Years Remaining
  5. Loss Ratio = Claims Paid ÷ Premiums Collected
  6. Risk Probability = Event Frequency ÷ Total Events
  7. Expected Loss = Probability × Loss Amount
  8. Replacement Cost = Asset Value − Depreciation
  9. Premium-to-Income Ratio = Annual Premium ÷ Annual Income × 100
  10. Insurance Adequacy = Coverage ÷ Liabilities × 100

6. Taxation (10 formulas)

  1. Taxable Income = Gross Income − Deductions
  2. Effective Tax Rate = Tax Paid ÷ Total Income × 100
  3. Average Tax Rate = Total Tax ÷ Taxable Income × 100
  4. Marginal Tax Rate = Tax Rate on Last Income Slab
  5. Capital Gains = Sale Price − Purchase Price − Expenses
  6. After-Tax Return = Return × (1 − Tax Rate)
  7. Tax Savings from Deduction = Deduction × Tax Rate
  8. GST/VAT = Price × Tax %
  9. Net Income After Tax = Gross Income − Taxes
  10. Dividend Tax = Dividend × Tax Rate

7. Real Estate & Property (10 formulas)

  1. Rental Yield = (Annual Rent ÷ Property Value) × 100
  2. Gross Rent Multiplier = Property Value ÷ Annual Rent
  3. Cap Rate = Net Operating Income ÷ Property Value × 100
  4. Loan-to-Cost Ratio = Loan Amount ÷ Project Cost × 100
  5. Net Operating Income = Rent − Operating Expenses
  6. Break-even Occupancy = Expenses ÷ Gross Income × 100
  7. Payback Period = Cost ÷ Annual Cash Inflow
  8. Cash-on-Cash Return = Annual Cash Flow ÷ Invested Cash × 100
  9. Property Tax = Property Value × Tax Rate
  10. Appreciation = (Current Value − Purchase Value) ÷ Purchase Value × 100

8. Currency, Inflation & Economics (10 formulas)

  1. Real Interest Rate = Nominal Rate − Inflation Rate
  2. Purchasing Power Parity = Exchange Rate × (Price Index A ÷ Price Index B)
  3. Big Mac Index = Price in Country A ÷ Price in Country B
  4. Effective Exchange Rate = Weighted Avg of Currency Rates
  5. Inflation Rate = [(CPI_t − CPI_t-1) ÷ CPI_t-1] × 100
  6. GDP Deflator = (Nominal GDP ÷ Real GDP) × 100
  7. Real Wage = Nominal Wage ÷ (1+Inflation)^t
  8. Disposable Income = Income − Taxes − Fixed Obligations
  9. Savings to GDP Ratio = Savings ÷ GDP × 100
  10. Money Velocity = GDP ÷ Money Supply

9. Wealth & Asset Management (10 formulas)

  1. Net Worth = Assets − Liabilities
  2. Asset Allocation % = (Asset ÷ Portfolio Value) × 100
  3. Weighted Portfolio Return = Σ(Weight × Return)
  4. Rebalancing % = (Current Weight − Target Weight) ÷ Target Weight × 100
  5. Diversification Ratio = Portfolio Std Dev ÷ Weighted Avg Std Dev
  6. Wealth Growth Rate = (End Net Worth − Start Net Worth) ÷ Years
  7. Liquid Net Worth = Liquid Assets − Short-Term Liabilities
  8. Debt-to-Asset Ratio = Total Debt ÷ Total Assets × 100
  9. Financial Independence Number = Annual Expense ÷ Withdrawal Rate
  10. Wealth Index = Net Worth ÷ (Annual Expense × Years)

🏋️‍♂️ 100 Formulas in Health & Fitness

1. Body Metrics (15 formulas)

  1. BMI (Body Mass Index) = Weight (kg) ÷ Height² (m²)
  2. BMR (Mifflin-St Jeor) = 10×W + 6.25×H − 5×Age + (s)
    (s = +5 men, −161 women)
  3. BMR (Harris-Benedict) = 66 + (13.7×W) + (5×H) − (6.8×Age) (men)
  4. Ideal Body Weight (Devine) = 50 + 2.3×(height in inches−60)
  5. Body Fat % (Navy) = 86.010×log10(waist−neck) − 70.041×log10(height) + 36.76 (men)
  6. Body Fat % (US Army) = (495 ÷ Body Density) − 450
  7. Waist-to-Hip Ratio = Waist ÷ Hip
  8. Waist-to-Height Ratio = Waist ÷ Height
  9. Lean Body Mass = Body Weight − (Body Weight × Body Fat %)
  10. FFMI (Fat-Free Mass Index) = LBM ÷ Height²
  11. Calorie Maintenance (TDEE) = BMR × Activity Factor
  12. VO2 Max (Cooper Test) = (Distance in meters − 504.9) ÷ 44.73
  13. VO2 Max (Step Test) = 111.33 − (0.42 × HR)
  14. Basal Water Requirement = 30 ml × Body Weight (kg)
  15. Surface Area (DuBois) = 0.007184 × W^0.425 × H^0.725

2. Nutrition & Diet (15 formulas)

  1. Calorie Needs = Protein Cal + Carb Cal + Fat Cal
  2. Protein Requirement = 1.2–2.0 × Body Weight (kg)
  3. Fat Requirement = 0.8–1.0 × Body Weight (kg)
  4. Carb Requirement = (Total Calories − Protein − Fat) ÷ 4
  5. Glycemic Load = (GI × Carbs (g)) ÷ 100
  6. Daily Fiber = 14 g ÷ 1000 kcal consumed
  7. Hydration Index = Water Intake ÷ Requirement × 100
  8. Electrolyte Balance (Na/K) = Sodium ÷ Potassium
  9. Caloric Deficit/Surplus = Intake − TDEE
  10. Macronutrient % Split = (Macro Cal ÷ Total Cal) × 100
  11. Sugar Load = (Grams of Sugar ÷ Total Carbs) × 100
  12. Alcohol Calories = Volume (ml) × %Alcohol × 7.1 ÷ 100
  13. Meal Frequency Energy = Total Calories ÷ Meals per Day
  14. Protein Digestibility = (Absorbed Protein ÷ Intake) × 100
  15. Satiety Index = Fullness Rating ÷ Calories

3. Exercise & Training (20 formulas)

  1. Max HR = 220 − Age
  2. Target HR (Moderate) = Max HR × 0.5–0.7
  3. Target HR (Vigorous) = Max HR × 0.7–0.85
  4. Karvonen HR = [(HRmax − HRrest) × %Intensity] + HRrest
  5. Calorie Burn (Running) = Distance × Weight × 1.036
  6. Calorie Burn (Walking) = Distance × Weight × 0.57
  7. METs (Exercise) = (O₂ consumed ÷ 3.5)
  8. Calories Burned = MET × Weight × Duration ÷ 60
  9. Strength Progression = New Max = Old Max × (1 + %Increase)
  10. One Rep Max (Epley) = W × (1 + Reps ÷ 30)
  11. One Rep Max (Brzycki) = W ÷ (1.0278 − 0.0278×Reps)
  12. Volume Load (Weights) = Weight × Reps × Sets
  13. Training Density = Total Work ÷ Time
  14. Work (Physics) = Force × Distance
  15. Power Output = Work ÷ Time
  16. Pace (Running) = Time ÷ Distance
  17. Speed = Distance ÷ Time
  18. Cadence (Running) = Steps ÷ Minutes
  19. Training Intensity % = (Lift ÷ 1RM) × 100
  20. Recovery Ratio = Work Interval ÷ Rest Interval

4. Medical & Clinical (15 formulas)

  1. BMI-for-age z-score = (BMI−Median) ÷ SD
  2. Blood Pressure Mean (MAP) = (SBP + 2×DBP) ÷ 3
  3. Pulse Pressure = SBP − DBP
  4. Cardiac Output = HR × Stroke Volume
  5. Stroke Volume = EDV − ESV
  6. Ejection Fraction % = (SV ÷ EDV) × 100
  7. Respiratory Rate = Breaths ÷ Minute
  8. Minute Ventilation = Tidal Volume × Respiratory Rate
  9. Oxygen Saturation % = (O₂ Hb ÷ Total Hb) × 100
  10. Glomerular Filtration Rate (eGFR) = k × (Creatinine⁻¹) × Age
  11. Blood Sugar Index = Glucose ÷ Normal Range × 100
  12. HbA1c (Avg Glucose) = (28.7 × HbA1c) − 46.7
  13. Body Temp Adjusted HR = HR + (1 bpm per 1°C rise)
  14. Insulin Sensitivity Index = 10,000 ÷ √(Glucose × Insulin × Product)
  15. Creatinine Clearance = (140 − Age) × Weight ÷ (72 × Serum Creatinine)

5. Sports Performance (15 formulas)

  1. Batting Average (Cricket/Baseball) = Runs ÷ Outs
  2. Bowling Economy = Runs ÷ Overs
  3. Basketball FG% = (FG Made ÷ FG Attempted) × 100
  4. Basketball EFG% = (FGM + 0.5×3PM) ÷ FGA
  5. Football Passing Accuracy = Completions ÷ Attempts × 100
  6. Tennis First Serve % = First Serves In ÷ First Serves Attempted
  7. VO2 Score (Yo-Yo Test) = Distance ÷ Time
  8. Pace per 100m (Swimming) = Time ÷ Laps
  9. Golf Handicap = (Score − Course Rating) × 113 ÷ Slope Rating
  10. Cycling FTP (Functional Threshold Power) = Avg Power ÷ 60
  11. Stride Length = Distance ÷ Strides
  12. Agility Index = (Time ÷ Benchmark Time) × 100
  13. Sprint Speed = Distance ÷ Sprint Time
  14. Lactate Threshold %HRmax = HR at LT ÷ HRmax × 100
  15. Wingate Anaerobic Power = (Force × Distance ÷ Time)

6. Health Risk Assessment (10 formulas)

  1. Obesity Index = BMI ÷ Normal BMI × 100
  2. Cholesterol Ratio = Total Cholesterol ÷ HDL
  3. Atherogenic Index = log10(TG ÷ HDL)
  4. Cardio Risk Score = (LDL + TG + BP + BMI) ÷ Age
  5. Framingham Risk % = Age + Cholesterol + BP + Smoking factors
  6. Stroke Risk % = BP × Cholesterol × Diabetes ÷ Age
  7. Diabetes Risk = (FPG + BMI + Age + Family History Score) ÷ 4
  8. Osteoporosis Risk = BMD ÷ Young Adult Mean × 100
  9. Sleep Efficiency % = (Total Sleep ÷ Time in Bed) × 100
  10. Stress Index = Cortisol ÷ Normal Range × 100

7. Lifestyle & Recovery (10 formulas)

  1. Daily Steps Goal = 10,000 or Activity Factor × Weight
  2. Sleep Debt = Required Sleep − Actual Sleep
  3. Hydration Gap = Required Water − Intake
  4. Work-Life Balance % = Personal Hours ÷ Total Hours × 100
  5. Resting HR Trend = HR Morning ÷ HR Evening × 100
  6. Calories from Alcohol = Volume × % × 7.1 ÷ 100
  7. Muscle Recovery Time = 48–72h × (Intensity %)
  8. Stretch Ratio = (Stretched Length ÷ Normal Length)
  9. Flexibility Index = Reach Distance ÷ Height × 100
  10. Wellness Index = (Sleep + Nutrition + Stress + Activity) ÷ 4

📘 100 Formulas in Education & Learning

1. Basic Arithmetic & Numbers (10 formulas)

  1. Percentage (%) = (Part ÷ Whole) × 100
  2. Ratio = a ÷ b
  3. Proportion = a/b = c/d
  4. Average (Mean) = (Σx) ÷ n
  5. Median = Middle value (sorted set)
  6. Mode = Most frequent value
  7. Simple Interest = (P × R × T) ÷ 100
  8. Compound Interest = P × (1 + R/100)^T − P
  9. Profit % = (Profit ÷ Cost Price) × 100
  10. Loss % = (Loss ÷ Cost Price) × 100

2. Algebra (10 formulas)

  1. Quadratic Formula = (−b ± √(b² − 4ac)) ÷ 2a
  2. (a + b)² = a² + 2ab + b²
  3. (a − b)² = a² − 2ab + b²
  4. a² − b² = (a + b)(a − b)
  5. (x + y + z)² = x² + y² + z² + 2(xy + yz + zx)
  6. Arithmetic Progression nth term (An) = a + (n − 1)d
  7. Sum of n terms (AP) = n/2 [2a + (n−1)d]
  8. Geometric Progression nth term = ar^(n−1)
  9. Sum of GP (finite) = a(1−r^n)/(1−r)
  10. Infinite GP Sum = a/(1−r), if |r|<1

3. Geometry (15 formulas)

  1. Area of Square = a²
  2. Area of Rectangle = l × b
  3. Area of Triangle = ½ × b × h
  4. Heron’s Formula = √[s(s−a)(s−b)(s−c)], s=(a+b+c)/2
  5. Area of Circle = πr²
  6. Circumference = 2πr
  7. Volume of Sphere = 4/3 πr³
  8. Surface Area of Sphere = 4πr²
  9. Volume of Cylinder = πr²h
  10. Surface Area of Cylinder = 2πr(h+r)
  11. Volume of Cone = ⅓ πr²h
  12. Surface Area of Cone = πr(l+r)
  13. Pythagoras Theorem = a² + b² = c²
  14. Trapezium Area = ½ (a+b)h
  15. Rhombus Area = ½ d1 × d2

4. Trigonometry (15 formulas)

  1. sin²θ + cos²θ = 1
  2. tanθ = sinθ ÷ cosθ
  3. cotθ = 1 ÷ tanθ
  4. secθ = 1 ÷ cosθ
  5. cosecθ = 1 ÷ sinθ
  6. sin(−θ) = −sinθ; cos(−θ) = cosθ
  7. sin(A+B) = sinAcosB + cosAsinB
  8. cos(A+B) = cosAcosB − sinAsinB
  9. tan(A+B) = (tanA + tanB) ÷ (1 − tanAtanB)
  10. Law of Sines = a/sinA = b/sinB = c/sinC
  11. Law of Cosines = c² = a²+b²−2ab cosC
  12. Area of Triangle (Trig) = ½ ab sinC
  13. sin2A = 2sinAcosA
  14. cos2A = cos²A − sin²A
  15. tan2A = 2tanA ÷ (1−tan²A)

5. Probability & Statistics (10 formulas)

  1. Probability = (Favorable ÷ Total Outcomes)
  2. Odds = P ÷ (1−P)
  3. Mean (μ) = Σx/n
  4. Variance (σ²) = Σ(x−μ)² ÷ n
  5. Standard Deviation = √Variance
  6. Permutations = nPr = n! ÷ (n−r)!
  7. Combinations = nCr = n! ÷ (r!(n−r)!)
  8. Binomial Probability = nCr p^r (1−p)^(n−r)
  9. Normal Distribution Z = (X−μ)/σ
  10. Expected Value = Σ(x × P(x))

6. Physics (15 formulas)

  1. Speed = Distance ÷ Time
  2. Velocity = Displacement ÷ Time
  3. Acceleration = Δv ÷ Δt
  4. Force = Mass × Acceleration
  5. Work = Force × Distance
  6. Power = Work ÷ Time
  7. Kinetic Energy = ½ mv²
  8. Potential Energy = mgh
  9. Pressure = Force ÷ Area
  10. Density = Mass ÷ Volume
  11. Momentum = Mass × Velocity
  12. Impulse = Force × Time
  13. Ohm’s Law = V = IR
  14. Electrical Power = VI
  15. Wave Speed = Frequency × Wavelength

7. Chemistry (10 formulas)

  1. Molarity = Moles ÷ Volume (L)
  2. Molality = Moles ÷ Mass of Solvent (kg)
  3. Normality = Equivalents ÷ Volume (L)
  4. pH = −log[H⁺]
  5. pOH = −log[OH⁻]
  6. Kw = [H⁺][OH⁻] = 1×10⁻¹⁴
  7. Ideal Gas Law = PV = nRT
  8. % Composition = (Mass of Element ÷ Total Mass) × 100
  9. Dilution Formula = C₁V₁ = C₂V₂
  10. Enthalpy = ΣΔH(products) − ΣΔH(reactants)

8. Exam & Learning Metrics (10 formulas)

  1. GPA = Σ(Grade Points × Credits) ÷ ΣCredits
  2. CGPA = Σ(Semester GPA × Credits) ÷ ΣCredits
  3. Percentage = (Marks Obtained ÷ Total Marks) × 100
  4. Weighted Average = Σ(wx) ÷ Σw
  5. Pass Percentage = (Students Passed ÷ Total Students) × 100
  6. Study Efficiency = (Hours Studied ÷ Hours Planned) × 100
  7. Learning Retention % = (Info Recalled ÷ Info Learned) × 100
  8. Exam Score Improvement % = (New Score−Old Score)/Old Score ×100
  9. Question Accuracy % = (Correct ÷ Attempted) × 100
  10. Speed (Questions) = Questions Solved ÷ Time

9. Computer & Digital Learning (10 formulas)

  1. Data Transfer Rate = Data ÷ Time
  2. Storage Conversion = 1 KB = 1024 B
  3. CPU Efficiency = Useful Work ÷ Total Work × 100
  4. Algorithm Complexity = O(n), O(log n), etc.
  5. Learning Curve Efficiency = Output ÷ Input × 100

💼 100 Formulas in Business & Entrepreneurship

1. Basic Business Finance (10 formulas)

  1. Revenue = Price × Quantity Sold
  2. Gross Profit = Revenue − COGS
  3. Operating Profit (EBIT) = Gross Profit − Operating Expenses
  4. Net Profit = Revenue − (COGS + Expenses + Taxes)
  5. Profit Margin % = (Net Profit ÷ Revenue) × 100
  6. Gross Margin % = (Gross Profit ÷ Revenue) × 100
  7. EBITDA = EBIT + Depreciation + Amortization
  8. EPS (Earnings per Share) = Net Income ÷ Shares Outstanding
  9. ROE (Return on Equity) = Net Income ÷ Shareholder Equity × 100
  10. ROA (Return on Assets) = Net Income ÷ Total Assets × 100

2. Cash Flow & Liquidity (10 formulas)

  1. Operating Cash Flow = Net Income + Non-Cash Expenses − ΔWorking Capital
  2. Free Cash Flow = OCF − Capital Expenditures
  3. Cash Conversion Cycle (CCC) = DIO + DSO − DPO
  4. Current Ratio = Current Assets ÷ Current Liabilities
  5. Quick Ratio = (Current Assets − Inventory) ÷ Current Liabilities
  6. Working Capital = Current Assets − Current Liabilities
  7. Liquidity Ratio = Liquid Assets ÷ Short-term Liabilities
  8. Debt Service Coverage Ratio (DSCR) = Net Operating Income ÷ Debt Payments
  9. Operating Cash Flow Ratio = OCF ÷ Current Liabilities
  10. Cash Ratio = Cash ÷ Current Liabilities

3. Sales & Marketing Metrics (15 formulas)

  1. Customer Acquisition Cost (CAC) = Sales & Marketing Cost ÷ New Customers
  2. Customer Lifetime Value (CLV) = Avg Value × Gross Margin × Lifespan
  3. ROI on Marketing = (Revenue from Campaign − Cost) ÷ Cost × 100
  4. Conversion Rate % = (Conversions ÷ Leads) × 100
  5. Lead-to-Customer % = (New Customers ÷ Leads) × 100
  6. Sales Growth % = (Current Sales − Past Sales) ÷ Past Sales × 100
  7. Market Share % = Company Sales ÷ Industry Sales × 100
  8. Churn Rate % = (Lost Customers ÷ Total Customers) × 100
  9. Retention Rate % = 100 − Churn Rate
  10. ARPU (Average Revenue per User) = Revenue ÷ Users
  11. Sales per Employee = Revenue ÷ Sales Staff
  12. Upsell Ratio = Upsell Revenue ÷ Base Revenue × 100
  13. Cost per Lead (CPL) = Marketing Cost ÷ Leads Generated
  14. Click-through Rate (CTR) = (Clicks ÷ Impressions) × 100
  15. Return on Ad Spend (ROAS) = Revenue from Ads ÷ Ad Spend

4. Operations & Efficiency (10 formulas)

  1. Inventory Turnover = COGS ÷ Avg Inventory
  2. Days Inventory Outstanding (DIO) = 365 ÷ Inventory Turnover
  3. Capacity Utilization % = (Actual Output ÷ Max Output) × 100
  4. Labor Productivity = Output ÷ Hours Worked
  5. Machine Utilization % = Actual Hours ÷ Available Hours × 100
  6. Yield % = Good Units ÷ Total Units × 100
  7. OEE (Overall Equipment Effectiveness) = Availability × Performance × Quality
  8. Breakeven Point (Units) = Fixed Costs ÷ (Price − Variable Cost)
  9. Breakeven Revenue = Fixed Costs ÷ Contribution Margin Ratio
  10. Contribution Margin % = (Sales − Variable Costs) ÷ Sales × 100

5. Entrepreneurship & Growth (10 formulas)

  1. Burn Rate = Monthly Expenses − Monthly Revenue
  2. Runway (Months) = Cash ÷ Burn Rate
  3. Valuation (VC Method) = Exit Value ÷ ROI Multiple
  4. Price-to-Sales Ratio (P/S) = Market Cap ÷ Sales
  5. Price-to-Earnings Ratio (P/E) = Price ÷ EPS
  6. Growth Rate % = (New Value − Old Value) ÷ Old Value × 100
  7. Rule of 40 (SaaS) = Growth % + Profit Margin %
  8. Enterprise Value (EV) = Market Cap + Debt − Cash
  9. EV/EBITDA Ratio = EV ÷ EBITDA
  10. Market-to-Book Ratio = Market Value ÷ Book Value

6. Project Management (10 formulas)

  1. Planned Value (PV) = % Planned × Budget
  2. Earned Value (EV) = % Completed × Budget
  3. Actual Cost (AC) = Sum of Actual Expenses
  4. Cost Variance (CV) = EV − AC
  5. Schedule Variance (SV) = EV − PV
  6. CPI (Cost Performance Index) = EV ÷ AC
  7. SPI (Schedule Performance Index) = EV ÷ PV
  8. Estimate at Completion (EAC) = BAC ÷ CPI
  9. Variance at Completion (VAC) = BAC − EAC
  10. Critical Path Duration = Sum of Longest Path Activities

7. Human Resources (10 formulas)

  1. Employee Turnover % = (Leavers ÷ Avg Employees) × 100
  2. Absenteeism % = (Absent Days ÷ Total Workdays) × 100
  3. Retention % = (Remaining Staff ÷ Start Staff) × 100
  4. Training ROI % = (Benefits − Cost) ÷ Cost × 100
  5. Revenue per Employee = Revenue ÷ Employees
  6. Profit per Employee = Net Profit ÷ Employees
  7. Cost per Hire = Recruitment Cost ÷ Hires
  8. Employee Productivity = Output ÷ Input (hours/cost)
  9. Engagement Index % = (Engaged Staff ÷ Total Staff) × 100
  10. Salary-to-Revenue Ratio % = Total Salary ÷ Revenue × 100

8. Risk & Decision Making (10 formulas)

  1. Break-even Probability = Fixed Cost ÷ Contribution Margin
  2. Expected Monetary Value (EMV) = Σ(Probability × Payoff)
  3. Decision Tree EV = (Success% × Gain) − (Failure% × Loss)
  4. Risk-Return Ratio = Expected Return ÷ Standard Deviation
  5. Hedging Effectiveness = 1 − (Portfolio Variance ÷ Market Variance)
  6. Default Risk % = Bad Debts ÷ Total Loans × 100
  7. Leverage Ratio = Total Debt ÷ Equity
  8. Interest Coverage Ratio = EBIT ÷ Interest
  9. Altman Z-Score = 1.2×X1 + 1.4×X2 + 3.3×X3 + 0.6×X4 + 1.0×X5
  10. Margin of Safety % = (Sales − Break-even Sales) ÷ Sales × 100

9. Economics & Strategy (10 formulas)

  1. Elasticity of Demand = (%ΔQ ÷ %ΔP)
  2. Marginal Cost (MC) = ΔTC ÷ ΔQ
  3. Marginal Revenue (MR) = ΔTR ÷ ΔQ
  4. Profit Maximization = MR = MC
  5. Price Elasticity of Supply = %ΔQs ÷ %ΔP
  6. GDP Contribution % = Sector GDP ÷ Total GDP × 100
  7. Productivity Growth % = (Output Growth − Input Growth)
  8. Porter’s ROI Index = Industry ROI ÷ Firm ROI
  9. Market Concentration (HHI) = Σ(market share²)
  10. Learning Curve % = (New Cost ÷ Old Cost) × 100

10. Digital & E-Business (10 formulas)

  1. Website Conversion % = (Purchases ÷ Visitors) × 100
  2. Bounce Rate % = (Single-page Visits ÷ Total Visits) × 100
  3. Cart Abandonment % = (Abandoned Carts ÷ Initiated Carts) × 100
  4. Customer Engagement Rate = Interactions ÷ Followers × 100
  5. Viral Coefficient = # of Invites × Conversion Rate

🕒 100 Formulas in Work & Productivity

1. Time Management (15 formulas)

  1. Time Utilization % = (Productive Hours ÷ Total Hours) × 100
  2. Work Efficiency % = (Standard Time ÷ Actual Time) × 100
  3. Pomodoro Productivity % = (Completed Sessions ÷ Planned Sessions) × 100
  4. Time per Task = Total Time ÷ Tasks Completed
  5. Idle Time % = (Idle Hours ÷ Total Hours) × 100
  6. Focus Ratio = Deep Work Hours ÷ Total Work Hours
  7. Task Completion Rate % = (Completed Tasks ÷ Assigned Tasks) × 100
  8. Overtime % = (Overtime Hours ÷ Regular Hours) × 100
  9. Schedule Adherence % = (On-time Tasks ÷ Total Tasks) × 100
  10. Meeting Time % = (Meeting Hours ÷ Work Hours) × 100
  11. Time Lost to Interruptions % = (Interrupt Time ÷ Total Time) × 100
  12. Break Efficiency % = (Recovered Productivity ÷ Break Time) × 100
  13. Workload Balance % = (Employee Load ÷ Avg Load) × 100
  14. Planned vs Actual Time % = (Planned ÷ Actual) × 100
  15. Deadline Compliance % = (Tasks on Time ÷ Total Tasks) × 100

2. Task & Project Performance (15 formulas)

  1. Project Completion % = (Work Done ÷ Total Work) × 100
  2. Milestone Achievement % = (Completed Milestones ÷ Planned Milestones) × 100
  3. Tasks per Employee = Tasks ÷ Employees
  4. Backlog % = (Pending Tasks ÷ Total Tasks) × 100
  5. Defect Density = Defects ÷ Work Units Completed
  6. Workload Capacity % = (Work Completed ÷ Max Capacity) × 100
  7. Work in Progress % = (Ongoing Tasks ÷ Total Tasks) × 100
  8. Task Efficiency % = (Expected Output ÷ Actual Output) × 100
  9. Planned Value (PV) = % Planned × Total Budget
  10. Earned Value (EV) = % Completed × Total Budget
  11. Schedule Variance (SV) = EV − PV
  12. Cost Variance (CV) = EV − Actual Cost
  13. SPI (Schedule Performance Index) = EV ÷ PV
  14. CPI (Cost Performance Index) = EV ÷ AC
  15. Project Health Index = (CPI × SPI) × 100

3. Employee Productivity (15 formulas)

  1. Output per Employee = Total Output ÷ Employees
  2. Revenue per Employee = Revenue ÷ Employees
  3. Profit per Employee = Net Profit ÷ Employees
  4. Utilization Rate % = (Billable Hours ÷ Total Hours) × 100
  5. Absenteeism % = (Absent Days ÷ Workdays) × 100
  6. Turnover % = (Leavers ÷ Avg Staff) × 100
  7. Retention % = (Employees Retained ÷ Total Employees) × 100
  8. Overtime Hours % = Overtime Hours ÷ Total Hours × 100
  9. Engagement Index % = (Engaged Staff ÷ Total Staff) × 100
  10. Training ROI % = (Gain − Cost) ÷ Cost × 100
  11. Learning Curve % = (New Time ÷ Old Time) × 100
  12. Skill Utilization % = Skills Used ÷ Total Skills × 100
  13. Error Rate % = (Errors ÷ Total Tasks) × 100
  14. Rework % = (Rework Hours ÷ Total Hours) × 100
  15. Knowledge Transfer % = (Knowledge Applied ÷ Knowledge Shared) × 100

4. Efficiency & Effectiveness (15 formulas)

  1. Overall Efficiency % = (Useful Output ÷ Input) × 100
  2. Effectiveness % = (Achieved Goals ÷ Planned Goals) × 100
  3. Cycle Time = End Time − Start Time
  4. Throughput = Units Produced ÷ Time
  5. First Pass Yield % = (Good Units ÷ Total Units) × 100
  6. Work Quality % = (Accepted Output ÷ Total Output) × 100
  7. Defect Removal Efficiency % = (Defects Fixed ÷ Total Defects) × 100
  8. Capacity Utilization % = (Used Capacity ÷ Available Capacity) × 100
  9. Rework Ratio % = Rework ÷ Total Work × 100
  10. Cost Efficiency % = Planned Cost ÷ Actual Cost × 100
  11. Productivity Index = Output ÷ Input
  12. Service Level % = On-time Deliveries ÷ Total Deliveries × 100
  13. Satisfaction Score % = Positive Feedback ÷ Total Feedback × 100
  14. Employee Efficiency % = (Target Output ÷ Actual Output) × 100
  15. Effectiveness Index = Efficiency × Quality

5. Personal Productivity (15 formulas)

  1. Daily Productivity % = (Tasks Completed ÷ Planned Tasks) × 100
  2. Weekly Productivity % = Completed ÷ Planned × 100
  3. Focus Time Ratio = Deep Work Hours ÷ Total Work Hours
  4. Task Prioritization Index = (High Priority ÷ Total Tasks) × 100
  5. Time Saved % = (Old Time − New Time) ÷ Old Time × 100
  6. Interruptions % = Interrupt Time ÷ Total Work Time × 100
  7. Procrastination Rate % = (Delayed Tasks ÷ Total Tasks) × 100
  8. Email Time % = Email Hours ÷ Total Work Hours × 100
  9. Context Switching % = Switches ÷ Tasks × 100
  10. Learning Retention % = Recalled ÷ Learned × 100
  11. Self-Improvement % = Improvement Tasks ÷ Total Tasks × 100
  12. Daily Step Goal % = Steps Taken ÷ Step Goal × 100
  13. Screen Time % = Screen Hours ÷ Work Hours × 100
  14. Work-Life Balance % = Personal Hours ÷ Total Hours × 100
  15. Productivity Growth % = (New Output − Old Output) ÷ Old Output × 100

6. Team Productivity (15 formulas)

  1. Team Efficiency % = (Output ÷ Effort) × 100
  2. Collaboration Index = (Team Tasks ÷ Total Tasks) × 100
  3. Task Distribution Balance = (Max Load − Min Load) ÷ Avg Load × 100
  4. Meeting Effectiveness % = (Action Items Completed ÷ Action Items Assigned) × 100
  5. Team Engagement % = Active Members ÷ Total Members × 100
  6. Decision Speed = Decisions Made ÷ Time
  7. Conflict Resolution % = Resolved Issues ÷ Reported Issues × 100
  8. Innovation Index = New Ideas ÷ Total Ideas × 100
  9. Team Alignment % = Shared Goals ÷ Individual Goals × 100
  10. Task Redundancy % = Duplicate Tasks ÷ Total Tasks × 100
  11. Communication Effectiveness % = Understood Messages ÷ Sent Messages × 100
  12. Team Productivity Index = Team Output ÷ Team Hours
  13. Meeting Load % = Meeting Hours ÷ Team Hours × 100
  14. Collaboration ROI % = (Team Output − Individual Output) ÷ Individual Output × 100
  15. Collective Efficiency = Avg Individual Efficiency × Team Synergy

7. Digital Productivity & Tech (10 formulas)

  1. Automation ROI % = (Time Saved × Cost per Hour − Cost) ÷ Cost × 100
  2. System Uptime % = Uptime ÷ Total Time × 100
  3. Error Rate % (IT) = Errors ÷ Transactions × 100
  4. Bug Fix Efficiency % = Bugs Fixed ÷ Bugs Reported × 100
  5. System Productivity = Transactions ÷ Processing Time
  6. Cloud Cost Efficiency % = Planned Cost ÷ Actual Cost × 100
  7. App Usage % = App Hours ÷ Total Work Hours × 100
  8. Digital Collaboration Index = Online Tasks ÷ Total Tasks × 100
  9. Automation Coverage % = Automated Processes ÷ Total Processes × 100
  10. AI Productivity Gain % = (AI Output ÷ Human Output) × 100

🔬 100 Formulas in Science & Technology

1. Physics – Mechanics (15 formulas)

  1. Speed = Distance ÷ Time
  2. Velocity = Displacement ÷ Time
  3. Acceleration = Δv ÷ Δt
  4. Force = Mass × Acceleration (F = ma)
  5. Momentum = Mass × Velocity (p = mv)
  6. Impulse = Force × Time
  7. Work = Force × Distance × cosθ
  8. Power = Work ÷ Time
  9. Kinetic Energy = ½ mv²
  10. Potential Energy = mgh
  11. Mechanical Energy = KE + PE
  12. Torque = Force × Lever Arm
  13. Angular Momentum = I × ω
  14. Newton’s Second Law = F = dp/dt
  15. Pressure = Force ÷ Area

2. Physics – Waves & Thermodynamics (10 formulas)

  1. Wave Speed = Frequency × Wavelength
  2. Frequency = 1 ÷ Period
  3. Snell’s Law = n₁sinθ₁ = n₂sinθ₂
  4. Heat Transfer (Q) = mcΔT
  5. Specific Heat Capacity = Q ÷ (mΔT)
  6. Ideal Gas Law = PV = nRT
  7. Boyle’s Law = P₁V₁ = P₂V₂
  8. Charles’ Law = V₁/T₁ = V₂/T₂
  9. Thermal Efficiency = Work ÷ Heat Input × 100
  10. Carnot Efficiency = 1 − (Tc ÷ Th)

3. Physics – Electricity & Magnetism (15 formulas)

  1. Ohm’s Law = V = IR
  2. Electrical Power = VI
  3. Resistance = ρL ÷ A
  4. Capacitance = Q ÷ V
  5. Energy in Capacitor = ½ CV²
  6. Coulomb’s Law = k(q₁q₂ ÷ r²)
  7. Electric Field = F ÷ q
  8. Magnetic Force = qvB sinθ
  9. Ampere’s Law = B × 2πr = μ₀I
  10. Induced EMF = −dΦ/dt
  11. Inductor Energy = ½ LI²
  12. Transformer Ratio = Vp ÷ Vs = Np ÷ Ns
  13. Power Factor = cosθ = P ÷ (VI)
  14. Conductance = 1 ÷ Resistance
  15. Kirchhoff’s Law → ΣI = 0, ΣV = 0

4. Physics – Modern Science (10 formulas)

  1. Einstein’s Mass-Energy = E = mc²
  2. Photoelectric Effect = E = hf − φ
  3. De Broglie Wavelength = h ÷ p
  4. Heisenberg Principle = ΔxΔp ≥ ħ/2
  5. Relativistic Mass = m = m₀ ÷ √(1−v²/c²)
  6. Lorentz Factor = γ = 1 ÷ √(1−v²/c²)
  7. Nuclear Half-life = ln2 ÷ λ
  8. Radioactive Decay = N = N₀e^(-λt)
  9. Energy of Photon = E = hf = hc ÷ λ
  10. Binding Energy per Nucleon = BE ÷ A

5. Chemistry (15 formulas)

  1. Molarity = Moles ÷ Volume (L)
  2. Molality = Moles ÷ Solvent Mass (kg)
  3. Normality = Equivalents ÷ Volume (L)
  4. Mole Fraction = Moles of Component ÷ Total Moles
  5. % Composition = (Mass of Element ÷ Molar Mass) × 100
  6. Ideal Gas Law = PV = nRT
  7. pH = −log[H⁺]
  8. pOH = −log[OH⁻]
  9. Kw = [H⁺][OH⁻] = 1×10⁻¹⁴
  10. Gibbs Free Energy = ΔG = ΔH − TΔS
  11. ΔG = −nFE (electrochemistry)
  12. Rate Law = k[A]^m[B]^n
  13. Half-life (1st order) = 0.693 ÷ k
  14. Henderson-Hasselbalch = pH = pKa + log([A⁻]/[HA])
  15. Beer-Lambert Law = A = εcl

6. Biology / Human Science (10 formulas)

  1. BMI = Weight ÷ Height²
  2. BMR = 10W + 6.25H − 5A + s
  3. Growth Rate % = (ΔPopulation ÷ Initial) × 100
  4. Hardy-Weinberg Eq. = p² + 2pq + q² = 1
  5. Doubling Time = ln2 ÷ Growth Rate
  6. Metabolic Rate = Energy Expended ÷ Time
  7. Enzyme Activity = Product ÷ Time
  8. Blood Pressure Mean = (SBP + 2DBP)/3
  9. Respiration Quotient = CO₂ Produced ÷ O₂ Consumed
  10. DNA Base Pair Rule = A=T, G≡C

7. Computer Science & Technology (15 formulas)

  1. Data Transfer Rate = Data ÷ Time
  2. CPU Utilization % = (Busy Time ÷ Total Time) × 100
  3. Latency = Response Time − Processing Time
  4. Throughput = Tasks ÷ Time
  5. Speedup = Old Time ÷ New Time
  6. Efficiency = Speedup ÷ Processors × 100
  7. Memory Access Time = Hit Ratio×Cache + Miss Ratio×Main
  8. Reliability = MTBF ÷ (MTBF + MTTR)
  9. Availability % = MTBF ÷ (MTBF+MTTR) × 100
  10. Algorithm Complexity ≈ O(n), O(n log n), etc.
  11. Shannon Entropy = −Σp log₂(p)
  12. Compression Ratio = Original Size ÷ Compressed Size
  13. Network Utilization % = (Actual Throughput ÷ Max Bandwidth) × 100
  14. Packet Loss % = (Lost Packets ÷ Sent Packets) × 100
  15. Hash Collision Probability ≈ 1 − e^(−k²/2n)

8. Engineering & Technology (10 formulas)

  1. Stress = Force ÷ Area
  2. Strain = ΔL ÷ L
  3. Young’s Modulus = Stress ÷ Strain
  4. Shear Stress = Force ÷ Area (parallel)
  5. Bending Moment = Force × Distance
  6. Efficiency % = Output ÷ Input × 100
  7. Thermal Conductivity (q) = kA(ΔT ÷ d)
  8. Pump Power = ρghQ ÷ Efficiency
  9. Efficiency of Engine = Output Work ÷ Heat Supplied × 100
  10. Safety Factor = Ultimate Stress ÷ Working Stress

🏗️ 100 Formulas in Construction & Engineering

1. General Civil Engineering (10 formulas)

  1. Density = Mass ÷ Volume
  2. Unit Weight (γ) = Weight ÷ Volume
  3. Stress (σ) = Force ÷ Area
  4. Strain (ε) = ΔL ÷ L
  5. Young’s Modulus (E) = Stress ÷ Strain
  6. Shear Stress (τ) = Shear Force ÷ Area
  7. Poisson’s Ratio (ν) = Lateral Strain ÷ Longitudinal Strain
  8. Bulk Modulus (K) = Volumetric Stress ÷ Volumetric Strain
  9. Factor of Safety (FoS) = Ultimate Stress ÷ Working Stress
  10. Bearing Capacity (qult) = (1.3 × Nc × c) + γDf × Nq + 0.4γBNγ

2. Concrete & Materials (10 formulas)

  1. Water-Cement Ratio (w/c) = Weight of Water ÷ Weight of Cement
  2. Concrete Mix Design = Cement : Sand : Aggregate : Water
  3. Slump % Loss = (Initial Slump − Final Slump) ÷ Initial Slump × 100
  4. Compressive Strength = Load ÷ Area
  5. Modulus of Rupture = 0.7 × √fck
  6. Cement Content = w/c × Water Content
  7. Aggregate Gradation % = (Retained ÷ Total Sample) × 100
  8. Concrete Volume = Length × Breadth × Depth
  9. Curing Water Requirement = Surface Area × Water Demand
  10. Shrinkage % = (Initial Length − Final Length) ÷ Initial Length × 100

3. Structural Engineering (15 formulas)

  1. Bending Stress = M × y ÷ I
  2. Shear Stress = V × Q ÷ (I × b)
  3. Moment of Inertia (Rect.) = (bd³) ÷ 12
  4. Moment of Inertia (Circle) = πd⁴ ÷ 64
  5. Section Modulus (Z) = I ÷ y
  6. Flexural Strength = σ = M/Z
  7. Euler’s Buckling Load = π²EI ÷ (KL)²
  8. Slenderness Ratio = L ÷ r
  9. Deflection (Beam, WL/48EI) = (5wL⁴) ÷ (384EI)
  10. Fixed Beam Deflection (WL/192EI) = (wL⁴) ÷ (384EI)
  11. Cantilever Deflection (WL³/3EI) = (wL³) ÷ (3EI)
  12. Shear Force (V) = ΣVertical Forces
  13. Bending Moment (M) = Σ(F × Distance)
  14. Truss Force (Method of Joints) = ΣFx=0, ΣFy=0
  15. Stability Condition = m + r ≥ 2j

4. Surveying & Geotechnical (10 formulas)

  1. Level Difference = HI − RL
  2. Gradient (Slope) = Rise ÷ Run
  3. Trapezoidal Rule (Area) = (d/2)[(y₁+yₙ) + 2Σy]
  4. Simpson’s Rule (Area) = d/3[(y₀ + yₙ) + 4Σyodd + 2Σyeven]
  5. Volume (Earthwork) = (A₁ + A₂)/2 × L
  6. Prismoidal Formula (Volume) = L/3(A₁ + A₂ + √(A₁×A₂))
  7. R.L. (Rise & Fall) = B.S − F.S
  8. Safe Bearing Capacity = Load ÷ Foundation Area
  9. Soil Void Ratio (e) = Vv ÷ Vs
  10. Porosity (n) = Vv ÷ V × 100

5. Transportation & Roads (10 formulas)

  1. Stopping Sight Distance (SSD) = vt + v²/2gf
  2. Overtaking Sight Distance (OSD) = d₁+d₂+d₃
  3. Super Elevation (e) = V² ÷ (gR)
  4. Curve Length (L) = R × Δ (in radians)
  5. Grade % = (Vertical Rise ÷ Horizontal Distance) × 100
  6. Traffic Density = Vehicles ÷ Road Length
  7. Traffic Flow (Q) = Density × Speed
  8. PCU (Passenger Car Unit) = Σ(Vehicle Type × PCU Factor)
  9. Bitumen Content = Weight of Bitumen ÷ Total Mix Weight × 100
  10. Pavement Thickness = P × √(W/E)

6. Hydraulics & Fluid Mechanics (10 formulas)

  1. Discharge (Q) = A × V
  2. Continuity Eq. = A₁V₁ = A₂V₂
  3. Bernoulli’s Eq. = P/ρg + v²/2g + z = constant
  4. Reynolds Number = ρVD ÷ μ
  5. Darcy-Weisbach Head Loss = h_f = f(L/D)(V²/2g)
  6. Manning’s Equation = V = (1/n)R^(2/3)S^(1/2)
  7. Hydraulic Radius (R) = A ÷ P
  8. Weir Discharge = (2/3)Cd b√(2g)H^(3/2)
  9. Orifice Flow = Cd × A × √(2gH)
  10. Pump Power = ρgQH ÷ η

7. Mechanical & Thermal Engineering (10 formulas)

  1. Work Done (Gas) = P × ΔV
  2. Power = Work ÷ Time
  3. Efficiency % = Output ÷ Input × 100
  4. Otto Cycle Efficiency = 1 − (1/r^(γ−1))
  5. Diesel Cycle Efficiency = 1 − [(r^(γ−1))(ρ^γ−1)] ÷ (γ(ρ−1))
  6. Brake Power (BP) = 2πNT ÷ 60
  7. Indicated Power (IP) = (pmi × L × A × n × k) ÷ 60
  8. Mechanical Efficiency = BP ÷ IP × 100
  9. Heat Transfer (Q) = mcΔT
  10. Thermal Conductivity (q) = kA(ΔT ÷ d)

8. Electrical & Electronics (10 formulas)

  1. Ohm’s Law = V = IR
  2. Power = VI
  3. AC Power = VIcosφ
  4. Energy Consumption = P × t
  5. Capacitance = Q ÷ V
  6. Inductor Energy = ½ LI²
  7. Transformer Ratio = Vp ÷ Vs = Np ÷ Ns
  8. Current Divider Rule = I₁ = IT(R₂/(R₁+R₂))
  9. Voltage Divider Rule = Vout = Vin(R₂/(R₁+R₂))
  10. Power Factor = Real Power ÷ Apparent Power

9. Construction Management (10 formulas)

  1. Productivity = Output ÷ Input
  2. Labor Productivity = Work Done ÷ Labor Hours
  3. Equipment Utilization % = Actual Hours ÷ Available Hours × 100
  4. Cost Variance (CV) = EV − AC
  5. Schedule Variance (SV) = EV − PV
  6. CPI = EV ÷ AC
  7. SPI = EV ÷ PV
  8. Overhead % = Overhead Costs ÷ Direct Costs × 100
  9. Construction Cost Index = Current Cost ÷ Base Cost × 100
  10. Earned Value (EV) = % Completed × Total Budget

10. Environmental & Safety Engineering (5 formulas)

  1. Noise Level (dB) = 10 log₁₀(I/I₀)
  2. Air Quality Index (AQI) = (Pollutant ÷ Standard) × 100
  3. Ventilation Rate = Air Changes ÷ Hour
  4. Dust Concentration = Particles ÷ Volume of Air
  5. Safety Incident Rate = (Incidents × 200,000) ÷ Employee Hours

🚗✈️🚆🚢 100 Formulas in Travel & Transportation

1. Basic Travel Formulas (10)

  1. Speed = Distance ÷ Time
  2. Distance = Speed × Time
  3. Time = Distance ÷ Speed
  4. Average Speed = Total Distance ÷ Total Time
  5. Travel Efficiency % = (Direct Distance ÷ Actual Distance) × 100
  6. Layover Delay % = (Layover Time ÷ Total Travel Time) × 100
  7. Effective Travel Speed = Total Distance ÷ (Travel Time + Delay)
  8. Round Trip Time = Outbound Time + Return Time
  9. Journey Breaks % = (Break Time ÷ Total Trip Time) × 100
  10. Route Utilization % = (Used Route ÷ Available Routes) × 100

2. Fuel & Energy Efficiency (15)

  1. Fuel Efficiency = Distance ÷ Fuel Used
  2. Fuel Consumption = Fuel Used ÷ Distance
  3. Mileage (km/L) = Distance ÷ Liters
  4. Mileage (mpg) = Miles ÷ Gallons
  5. Cost per km = Fuel Cost ÷ Distance
  6. Fuel Cost for Trip = Distance × (Fuel Used ÷ Distance) × Fuel Price
  7. EV Energy Use = kWh ÷ Distance
  8. EV Range = Battery Capacity ÷ Consumption Rate
  9. Hybrid Efficiency % = EV Miles ÷ Total Miles × 100
  10. Idling Fuel Waste = Fuel/hr × Idling Hours
  11. Carbon Emission (CO₂) = Fuel Used × Emission Factor
  12. Emission per Passenger = Total Emission ÷ Passengers
  13. Eco Driving Score % = (Standard ÷ Actual Consumption) × 100
  14. Fuel Saving % = (Old Consumption − New) ÷ Old × 100
  15. Payload Fuel Penalty = Extra Fuel ÷ Extra Weight

3. Road Transport & Driving (15)

  1. Stopping Sight Distance (SSD) = vt + v²/2gf
  2. Overtaking Sight Distance (OSD) = d₁ + d₂ + d₃
  3. Braking Distance = v² ÷ 2μg
  4. Reaction Distance = vt
  5. Deceleration = v² ÷ 2s
  6. Super Elevation (e) = v² ÷ gR
  7. Traffic Flow (Q) = Density × Speed
  8. Traffic Density = Vehicles ÷ Length of Road
  9. PCU (Passenger Car Unit) = Σ(Vehicles × PCU Factor)
  10. Vehicle Load Factor % = Passengers ÷ Capacity × 100
  11. Vehicle Utilization % = Used Days ÷ Available Days × 100
  12. Highway Capacity = Flow ÷ Lane × Lanes
  13. Congestion Index = Actual Speed ÷ Free Speed × 100
  14. Delay Factor % = (Delayed Time ÷ Travel Time) × 100
  15. Travel Time Index = Peak Time ÷ Free Flow Time

4. Rail Transport (10)

  1. Train Speed = Distance ÷ Time
  2. Headway Time = Spacing ÷ Speed
  3. Rail Capacity = 3600 ÷ Headway
  4. Track Utilization % = Train Hours ÷ Track Hours × 100
  5. Load Factor % = Actual Passengers ÷ Capacity × 100
  6. Ton-km = Weight × Distance
  7. Passenger-km = Passengers × Distance
  8. Energy per Passenger-km = kWh ÷ Passenger-km
  9. Delay Index % = (Delay ÷ Scheduled Time) × 100
  10. Turnaround Time = Arrival to Next Departure

5. Air Transport (15)

  1. Flight Time = Distance ÷ Speed
  2. Block Time = Gate Out − Gate In
  3. Payload Ratio = Payload ÷ Max Payload × 100
  4. Passenger Load Factor = RPK ÷ ASK × 100
  5. Revenue Passenger km (RPK) = Passengers × Distance
  6. Available Seat km (ASK) = Seats × Distance
  7. Fuel Burn Rate = Fuel ÷ Time
  8. Fuel Efficiency (Airline) = RPK ÷ Fuel Used
  9. On-Time Performance % = On-time Flights ÷ Total Flights × 100
  10. Delay Cost = Delay Hours × Cost/hr
  11. Flight Range (Breguet) = (V/gc) × (L/D) × ln(Wi/Wf)
  12. Ground Delay % = Ground Delay ÷ Total Delay × 100
  13. Air Cargo Load Factor = Freight Tonne-km ÷ Available Freight Tonne-km
  14. Runway Occupancy Time = Time Aircraft Stays on Runway
  15. Turnaround Efficiency % = Planned ÷ Actual Turnaround × 100

6. Maritime / Shipping (10)

  1. Deadweight Tonnage (DWT) = Cargo + Fuel + Crew + Provisions
  2. Gross Tonnage (GT) = Volume of All Enclosed Spaces ÷ 100
  3. Cargo Utilization % = Actual Cargo ÷ DWT × 100
  4. Fuel Consumption per Nautical Mile = Fuel ÷ Distance
  5. Knots (Speed) = Nautical Miles ÷ Hour
  6. Port Time % = Port Hours ÷ Total Voyage Hours × 100
  7. Cargo Handling Rate = Cargo ÷ Hours
  8. Turnaround Time = Arrival − Departure
  9. Ballast Ratio = Ballast ÷ Total Weight
  10. Ship Efficiency Index = Cargo Tonnes ÷ Fuel Tonnes

7. Logistics & Supply Chain (15)

  1. Lead Time = Order Time − Delivery Time
  2. Cycle Time = Processing Time + Transport Time
  3. On-time Delivery % = On-time ÷ Total Deliveries × 100
  4. Order Accuracy % = Correct Orders ÷ Total Orders × 100
  5. Freight Cost per km = Freight Cost ÷ Distance
  6. Freight Cost per Tonne = Freight Cost ÷ Tonnage
  7. Load Factor % = Actual Load ÷ Vehicle Capacity × 100
  8. Utilization Rate % = Time in Use ÷ Total Time × 100
  9. Empty Run % = Empty Distance ÷ Total Distance × 100
  10. Logistics Cost % = Logistics ÷ Sales × 100
  11. Inventory Turnover = COGS ÷ Average Inventory
  12. Supply Chain Cycle Efficiency (SCCE) = Value-added Time ÷ Total Time
  13. Dock Utilization % = Dock Time ÷ Total Time × 100
  14. Freight Productivity = Tonne-km ÷ Fuel Used
  15. Damage Ratio % = Damaged Goods ÷ Total Goods × 100

8. Navigation & Mapping (10)

  1. Bearing Conversion = Azimuth → Bearing
  2. Latitude Difference = ΔLat = Lat₂ − Lat₁
  3. Longitude Difference = ΔLon = Lon₂ − Lon₁
  4. Great Circle Distance = R × cos⁻¹(sinφ₁sinφ₂ + cosφ₁cosφ₂cosΔλ)
  5. Rhumb Line Distance = ΔLat ÷ cos(Mean Lat)
  6. GPS Error % = Error ÷ Actual Distance × 100
  7. Waypoint ETA = Distance ÷ Speed
  8. Fuel per Leg = Fuel/hr × Hours per Leg
  9. Navigation Drift % = Actual Path ÷ Planned Path × 100
  10. Mapping Scale = Map Distance ÷ Ground Distance

🏠 100 Formulas in Household & Lifestyle

1. Household Budget & Expenses (15 formulas)

  1. Monthly Savings = Income − Expenses
  2. Expense Ratio % = (Expenses ÷ Income) × 100
  3. Housing Cost % = (Rent ÷ Income) × 100
  4. Utility Cost % = (Utilities ÷ Income) × 100
  5. Food Cost % = (Food ÷ Income) × 100
  6. Debt-to-Income % = (Debt Payments ÷ Income) × 100
  7. Subscription Share % = (Subscriptions ÷ Income) × 100
  8. Emergency Fund Goal = 6 × Monthly Expenses
  9. Monthly Allowance = Budget ÷ Household Members
  10. Expense Growth % = (New Expense − Old) ÷ Old × 100
  11. Savings Rate % = (Savings ÷ Income) × 100
  12. Cost per Day Living = Monthly Expense ÷ 30
  13. Household Productivity Index = Tasks Completed ÷ Planned Tasks
  14. Debt Repayment % = Paid Debt ÷ Total Debt × 100
  15. Grocery Budget Share % = Grocery ÷ Income × 100

2. Utilities (Electricity, Water, Gas) (15 formulas)

  1. Electricity Bill = kWh × Tariff
  2. Appliance Power Use = Wattage × Hours ÷ 1000
  3. Cost per Appliance = Appliance kWh × Rate
  4. Energy Efficiency % = Useful Output ÷ Input × 100
  5. Standby Loss % = (Standby kWh ÷ Total kWh) × 100
  6. Water Usage per Person = Total Liters ÷ Members
  7. Daily Water Need = 30 × Weight (kg)
  8. Water Bill = Volume (m³) × Rate
  9. Gas Consumption = Flow Rate × Hours
  10. Gas Bill = Consumption × Unit Rate
  11. Lighting Efficiency % = Lumens ÷ Watts
  12. Solar Power Generated = Area × Efficiency × Sunlight hrs × 1000
  13. Battery Backup Time = Battery Capacity ÷ Load Power
  14. CO₂ Emission (Electricity) = kWh × Emission Factor
  15. Appliance Load Factor % = Avg Load ÷ Max Load × 100

3. Cooking & Kitchen (15 formulas)

  1. Recipe Ratio = Ingredient ÷ Servings
  2. Serving Size = Total Quantity ÷ Servings
  3. Calorie per Meal = Σ(Ingredient Calories)
  4. Protein Ratio % = Protein Cal ÷ Total Cal × 100
  5. Sugar Ratio % = Sugar g ÷ Total g × 100
  6. Baking Conversion = °C = (°F − 32) ÷ 1.8
  7. Cooking Time Adjustment = Old Time × (New Temp ÷ Old Temp)
  8. Food Wastage % = Wasted ÷ Total × 100
  9. Cost per Meal = Total Ingredients ÷ Servings
  10. Salt per Person = 5 g/day ÷ Household Members
  11. Cooking Energy Cost = Appliance Power × Time × Tariff
  12. Meal Frequency % = Meals Taken ÷ Meals Planned × 100
  13. Food Inflation % = (New Price − Old Price) ÷ Old Price × 100
  14. Storage Loss % = Lost Quantity ÷ Stored Quantity × 100
  15. Leftover Ratio % = Leftover ÷ Cooked × 100

4. Health & Wellness at Home (10 formulas)

  1. BMI = Weight ÷ Height²
  2. BMR (Mifflin St-Jeor) = 10W + 6.25H − 5A + s
  3. Daily Water Need = 30 ml × Body Weight (kg)
  4. Calorie Burn (Walking) = Distance × Weight × 0.57
  5. Calorie Burn (House Chores) = MET × Weight × Duration ÷ 60
  6. Sleep Efficiency % = Sleep Hours ÷ Time in Bed × 100
  7. Stress Index % = Stress Hours ÷ Work Hours × 100
  8. Household Health Index = (Healthy Days ÷ Total Days) × 100
  9. Sick Leave % = Sick Days ÷ Total Days × 100
  10. Screen Time % = Screen Hours ÷ Day Hours × 100

5. Home Maintenance (10 formulas)

  1. Paint Needed = Area ÷ Coverage per Liter
  2. Flooring Material = Length × Breadth
  3. Tile Count = Floor Area ÷ Tile Area
  4. Roof Area (Sloped) = Length × Width ÷ cos(slope)
  5. Plumbing Flow Rate = Volume ÷ Time
  6. HVAC Load = Area × Cooling Factor
  7. Maintenance Cost % = Repair Cost ÷ Asset Value × 100
  8. Appliance Life Expectancy % = Used Life ÷ Expected Life × 100
  9. Cleaning Time = Area ÷ Cleaning Speed
  10. Household Energy Index = Energy Use ÷ Household Size

6. Lifestyle & Personal (15 formulas)

  1. Clothing Cost % = Clothing ÷ Income × 100
  2. Entertainment Budget % = Entertainment ÷ Income × 100
  3. Vacation Savings % = Vacation ÷ Income × 100
  4. Pet Cost % = Pet Expenses ÷ Income × 100
  5. Fitness Expense % = Fitness ÷ Income × 100
  6. Work-Life Balance % = Personal Hours ÷ Total Hours × 100
  7. Leisure Time % = Leisure Hours ÷ Day Hours × 100
  8. Social Engagement % = Events ÷ Invitations × 100
  9. Hobby Time % = Hobby Hours ÷ Free Hours × 100
  10. Household Happiness Index = (Positive Days ÷ Total Days) × 100
  11. Daily Step Goal % = Steps Taken ÷ Goal × 100
  12. Sleep Debt = Required Sleep − Actual Sleep
  13. Family Time % = Family Hours ÷ Day Hours × 100
  14. Stress-Free Days % = Stress-Free ÷ Total Days × 100
  15. Wellness Index = (Sleep + Exercise + Nutrition)/3

7. Cleaning & Hygiene (10 formulas)

  1. Laundry Load = Weight of Clothes ÷ Machine Capacity
  2. Detergent Dosage = Clothes Weight × Detergent Ratio
  3. Water Use (Laundry) = Water Liters ÷ Load
  4. Cleaning Efficiency % = Dirt Removed ÷ Dirt Present × 100
  5. Soap Cost per Wash = Soap Volume × Cost per ml
  6. Waste Segregation % = Sorted Waste ÷ Total Waste × 100
  7. Recycling % = Recycled ÷ Total Waste × 100
  8. Household Hygiene Score = Cleanliness Tasks Done ÷ Planned × 100
  9. Odor Control % = Fresh Days ÷ Total Days × 100
  10. Pest Index % = Pest-free Days ÷ Total Days × 100

8. Gardening & Outdoor (10 formulas)

  1. Irrigation Water Need = Area × Depth × 1000
  2. Fertilizer Dosage = Soil Requirement × Area
  3. Crop Yield % = Harvest ÷ Expected × 100
  4. Plant Survival Rate % = Surviving ÷ Planted × 100
  5. Growth Rate % = (Final Height − Initial) ÷ Initial × 100
  6. Garden Coverage % = Garden Area ÷ Plot Area × 100
  7. Compost Ratio = Browns ÷ Greens
  8. Sunlight Hours % = Sunlight Hours ÷ Day Hours × 100
  9. Water Efficiency % = Water Used ÷ Water Required × 100
  10. Oxygen Contribution Index = Plants ÷ Area

🏢 100 Formulas in Real Estate & Property

1. Property Valuation Basics (10 formulas)

  1. Property Value (Income Approach) = Net Operating Income ÷ Cap Rate
  2. Property Value (Sales Comparison) = Comparable Price × Adjustment Factor
  3. Gross Rent Multiplier (GRM) = Property Price ÷ Annual Rent
  4. Capitalization Rate (Cap Rate) = NOI ÷ Property Value × 100
  5. Price per Square Foot = Property Price ÷ Area (sqft)
  6. Land Value = Comparable Land Price ÷ Land Area
  7. Replacement Cost = Cost per Sqft × Built-up Area
  8. Depreciated Value = Replacement Cost − Depreciation
  9. Effective Age = (Chronological Age × Condition Factor)
  10. Remaining Economic Life = Total Life − Effective Age

2. Mortgage & Loan (15 formulas)

  1. Monthly EMI = [P × r × (1+r)^n] ÷ [(1+r)^n − 1]
  2. Loan-to-Value Ratio (LTV) = Loan ÷ Property Value × 100
  3. Loan Affordability = 28% × Gross Monthly Income
  4. Debt Service Coverage Ratio (DSCR) = NOI ÷ Debt Payments
  5. Interest Payment (Monthly) = Principal × Rate ÷ 12
  6. Principal Payment (Monthly) = EMI − Interest Payment
  7. Outstanding Loan Balance = EMI × Remaining Months
  8. Effective Interest Rate = (1 + (i/n))^n − 1
  9. Amortization (nth Payment Interest) = Remaining Principal × r ÷ 12
  10. Balloon Payment = Loan Principal − Paid Installments × EMI
  11. Mortgage Constant = Annual Debt Service ÷ Loan Principal
  12. Housing Expense Ratio = PITI ÷ Gross Income × 100
  13. Gross Debt Service Ratio (GDS) = (Housing Costs ÷ Income) × 100
  14. Total Debt Service Ratio (TDS) = (All Debts ÷ Income) × 100
  15. Break-even Interest Rate = EMI ÷ Principal × 100

3. Rental Investment (15 formulas)

  1. Rental Yield % = (Annual Rent ÷ Property Value) × 100
  2. Net Rental Yield % = (Rent − Expenses) ÷ Property Value × 100
  3. Rent-to-Value Ratio = Monthly Rent ÷ Property Value × 100
  4. Rent Affordability = Rent ÷ Income × 100
  5. Vacancy Rate % = Vacant Units ÷ Total Units × 100
  6. Occupancy Rate % = Occupied ÷ Total Units × 100
  7. Operating Expense Ratio (OER) = Expenses ÷ Rent × 100
  8. Effective Gross Income (EGI) = Potential Rent − Vacancy Losses
  9. Net Operating Income (NOI) = EGI − Operating Expenses
  10. Cash Flow Before Tax (CFBT) = NOI − Debt Service
  11. Cash Flow After Tax (CFAT) = CFBT − Taxes
  12. Cash-on-Cash Return % = CFAT ÷ Invested Cash × 100
  13. Payback Period = Investment ÷ Annual Net Cash Flow
  14. Break-even Occupancy % = Expenses ÷ Gross Rent × 100
  15. Rent Escalation % = (New Rent − Old Rent) ÷ Old Rent × 100

4. Investment & ROI (15 formulas)

  1. Return on Investment (ROI) = (Profit ÷ Cost) × 100
  2. Return on Equity (ROE) = CFAT ÷ Equity × 100
  3. Internal Rate of Return (IRR) = r where NPV=0
  4. NPV (Net Present Value) = Σ(CFt ÷ (1+r)^t) − Initial Cost
  5. Discounted Payback Period = Years until NPV ≥ 0
  6. Profitability Index (PI) = PV of Cash Inflows ÷ PV of Outflows
  7. Annualized Return % = [(FV ÷ PV)^(1/n) − 1] × 100
  8. Equity Multiple = Total Returns ÷ Equity Invested
  9. Leverage Ratio = Total Debt ÷ Equity
  10. IRR Spread = Project IRR − Cost of Capital
  11. CapEx Ratio % = CapEx ÷ NOI × 100
  12. Operating Expense % = OpEx ÷ Gross Income × 100
  13. Investment Multiplier = Total Returns ÷ Initial Cost
  14. Yield on Cost (YoC) = NOI ÷ Project Cost × 100
  15. Risk-Adjusted Return = Return ÷ Standard Deviation

5. Construction & Development (10 formulas)

  1. Construction Cost = Area × Cost per Sqft
  2. Built-up Area = Carpet Area × Loading Factor
  3. Floor Area Ratio (FAR) = Total Built-up ÷ Plot Area
  4. FSI (Floor Space Index) = Built-up ÷ Land Area
  5. Plinth Area = External Building Area at Ground Floor
  6. Super Built-up Area = Carpet Area + Common Area Share
  7. Cost per Sqft = Total Cost ÷ Area
  8. Material Cost % = Material Cost ÷ Project Cost × 100
  9. Labor Cost % = Labor ÷ Project Cost × 100
  10. Overhead % = Overhead ÷ Project Cost × 100

6. Taxes & Fees (10 formulas)

  1. Stamp Duty = Property Value × Duty %
  2. Registration Fee = Property Value × Fee %
  3. Transfer Tax = Sale Price × Tax %
  4. Property Tax = Annual Rental Value × Tax Rate
  5. Capital Gains Tax = (Sale − Cost − Improvements) × Rate
  6. Wealth Tax = Net Property Value × Rate
  7. Depreciation (Straight-line) = Cost ÷ Useful Life
  8. Depreciation (Declining Balance) = Opening WDV × Rate
  9. Tax Shield = Interest × Tax Rate
  10. After-Tax Cash Flow = CFAT = CFBT − Taxes

7. Real Estate Economics (10 formulas)

  1. Absorption Rate % = Sold Units ÷ Available Units × 100
  2. Housing Affordability Index = (Median Income ÷ Qualifying Income) × 100
  3. Price-to-Rent Ratio = Property Price ÷ Annual Rent
  4. Price-to-Income Ratio = Median House Price ÷ Median Household Income
  5. Market Value Index = Current Price ÷ Base Price × 100
  6. Property Inflation % = (New Price − Old Price) ÷ Old Price × 100
  7. GDP Contribution % = Real Estate GDP ÷ National GDP × 100
  8. Construction Growth % = (New Construction − Old) ÷ Old × 100
  9. Housing Demand Index = Demand ÷ Supply × 100
  10. Vacancy Absorption % = Absorbed ÷ Vacant × 100

8. Risk & Portfolio Management (10 formulas)

  1. Default Risk % = Loan Defaults ÷ Loans × 100
  2. Liquidity Ratio = Quick Assets ÷ Liabilities
  3. Sharpe Ratio = (Portfolio Return − Risk-free) ÷ Std Dev
  4. Diversification Ratio = Portfolio Std Dev ÷ Weighted Avg Std Dev
  5. Portfolio Exposure % = Sector Value ÷ Portfolio Value × 100
  6. Leverage Risk % = Debt ÷ Asset Value × 100
  7. Sensitivity % = ΔValue ÷ ΔVariable × 100
  8. Scenario Return = Σ(Possibility × Return)
  9. Downside Risk = (Worst Return − Avg Return)
  10. Margin of Safety % = (Intrinsic Value − Market Value) ÷ Intrinsic Value × 100

9. Property Management (10 formulas)

  1. Maintenance Cost % = Maintenance ÷ Rent × 100
  2. Repair Cost % = Repairs ÷ NOI × 100
  3. Tenant Turnover Rate % = Tenants Left ÷ Total Tenants × 100
  4. Eviction Rate % = Evictions ÷ Tenants × 100
  5. Lease Renewal Rate % = Renewals ÷ Expiring Leases × 100

🌾 100 Formulas in Agriculture & Farming

1. Crop Yield & Production (15 formulas)

  1. Crop Yield = Harvested Output ÷ Cultivated Area
  2. Grain Yield = (Grain Weight ÷ Area)
  3. Yield per Hectare = Total Yield ÷ Area (ha)
  4. Harvest Index % = (Economic Yield ÷ Biological Yield) × 100
  5. Plant Population per Hectare = (10,000 ÷ Spacing)
  6. Seed Rate (kg/ha) = (Plant Population × 1000-seed weight) ÷ Germination %
  7. Seed Replacement Rate % = Certified Seed ÷ Total Seed × 100
  8. Crop Intensity % = (Gross Cropped Area ÷ Net Sown Area) × 100
  9. Multiple Cropping Index % = (Total Cropped Area ÷ Net Area) × 100
  10. Land Productivity = Yield ÷ Area
  11. Yield Gap % = (Potential Yield − Actual Yield) ÷ Potential Yield × 100
  12. Gross Yield Value = Yield × Market Price
  13. Net Yield Value = Gross Yield − Cost of Cultivation
  14. Harvest Efficiency % = (Collected ÷ Available) × 100
  15. Seed Germination % = (Seeds Germinated ÷ Seeds Sown) × 100

2. Soil & Fertility (10 formulas)

  1. Soil Bulk Density = Mass of Soil ÷ Volume
  2. Porosity % = (1 − Bulk Density ÷ Particle Density) × 100
  3. Soil Moisture Content % = (Wet Soil − Dry Soil) ÷ Dry Soil × 100
  4. Field Capacity % = (Water Retained ÷ Soil Volume) × 100
  5. Wilting Point % = (Water Content at Wilting ÷ Volume) × 100
  6. Available Water % = Field Capacity − Wilting Point
  7. Cation Exchange Capacity (CEC) = Total Cations ÷ Soil Mass
  8. Soil pH = −log[H⁺]
  9. Soil Organic Carbon % = Carbon ÷ Soil Weight × 100
  10. Soil Productivity Index = Yield ÷ Input

3. Irrigation & Water (15 formulas)

  1. Irrigation Requirement (IR) = ET − Effective Rainfall
  2. Evapotranspiration (ET) = Kc × ET₀
  3. ET₀ (Penman-Monteith) = [0.408Δ(Rn−G)+γ(900/(T+273))u₂(es−ea)] ÷ (Δ+γ(1+0.34u₂))
  4. Water Use Efficiency (WUE) = Yield ÷ Water Used
  5. Irrigation Efficiency % = (Water Used ÷ Water Applied) × 100
  6. Water Productivity = Yield ÷ Water Consumed
  7. Duty of Water = Area ÷ Discharge
  8. Delta (Δ) = Depth of Water × Duty
  9. Net Irrigation Depth = (Field Requirement ÷ Efficiency)
  10. Irrigation Frequency = Net Depth ÷ ET
  11. Irrigation Interval = Available Moisture ÷ Daily ET
  12. Rainfall Intensity = Rainfall ÷ Time
  13. Runoff Coefficient (C) = Runoff ÷ Rainfall
  14. Effective Rainfall = Total Rainfall − Runoff − Losses
  15. Canal Water Requirement = Duty × Delta

4. Fertilizers & Nutrients (15 formulas)

  1. Fertilizer Requirement (kg) = Nutrient Required ÷ % Nutrient in Fertilizer × 100
  2. Nutrient Use Efficiency % = Uptake ÷ Applied × 100
  3. Nitrogen Use Efficiency = Yield ÷ N Applied
  4. Phosphorus Use Efficiency = Yield ÷ P Applied
  5. Potassium Use Efficiency = Yield ÷ K Applied
  6. Fertilizer Application Rate (kg/ha) = Fertilizer ÷ Area
  7. Nutrient Balance = Nutrient Added − Nutrient Removed
  8. Fertilizer Cost per ha = Quantity × Price
  9. Nutrient Uptake = Nutrient Concentration × Yield
  10. Lime Requirement = (Desired pH − Current pH) × Buffer Factor
  11. Fertilizer Efficiency % = Yield Increase ÷ Fertilizer Used × 100
  12. Soil Amendment Rate = Required Dose ÷ Application Area
  13. Organic Manure Requirement = Nutrient Need ÷ Nutrient in Manure
  14. Fertilizer Savings % = (Old Dose − New Dose) ÷ Old Dose × 100
  15. Nutrient Recovery Efficiency % = (Uptake − Control) ÷ Applied × 100

5. Livestock & Dairy (10 formulas)

  1. Feed Conversion Ratio (FCR) = Feed Intake ÷ Weight Gain
  2. Daily Feed Requirement = % Body Weight × Weight
  3. Milk Yield Efficiency % = Milk Yield ÷ Feed Intake × 100
  4. Growth Rate % = (Final Weight − Initial) ÷ Initial × 100
  5. Calving Interval = Birth-to-Birth Interval
  6. Egg Production Rate % = Eggs ÷ Hens × 100
  7. Livestock Productivity Index = Output ÷ Animal Units
  8. Mortality Rate % = Deaths ÷ Total Animals × 100
  9. Lactation Yield = Daily Milk × Lactation Days
  10. Breeding Efficiency % = Successful Pregnancies ÷ Services × 100

6. Machinery & Power (10 formulas)

  1. Field Efficiency % = Effective ÷ Theoretical × 100
  2. Draft Force = Soil Resistance × Area of Implement
  3. Power Requirement (kW) = (Draft × Speed) ÷ 1000
  4. Fuel Consumption = Liters ÷ Hour
  5. Specific Fuel Consumption = Fuel ÷ Power Output
  6. Machine Cost/hr = (Fixed + Operating) ÷ Hours Used
  7. Labor Efficiency % = Actual Work ÷ Standard Work × 100
  8. Tractor Productivity = Area Covered ÷ Time
  9. Cost per ha = Operating Cost ÷ Area
  10. Machine Utilization % = Working Time ÷ Available Time × 100

7. Agricultural Economics (10 formulas)

  1. Gross Return = Yield × Price
  2. Net Return = Gross Return − Cost of Cultivation
  3. Benefit-Cost Ratio (BCR) = Gross Return ÷ Cost
  4. Profitability Index % = Net Profit ÷ Cost × 100
  5. Break-even Yield = Total Cost ÷ Price
  6. Break-even Price = Total Cost ÷ Yield
  7. Farm Business Income = Gross Income − Operational Costs
  8. Net Farm Income = Gross Income − (All Costs)
  9. Family Labor Income = Net Farm Income − Hired Labor
  10. Return on Investment (ROI) = Net Return ÷ Cost × 100

8. Storage & Post-Harvest (10 formulas)

  1. Storage Loss % = (Initial − Final Quantity) ÷ Initial × 100
  2. Moisture Loss % = (Initial Moisture − Final) ÷ Initial × 100
  3. Grain Damage % = Damaged ÷ Total × 100
  4. Shrinkage % = Weight Loss ÷ Original Weight × 100
  5. Storage Efficiency % = Stored ÷ Capacity × 100
  6. Shelf Life Index = Safe Days ÷ Expected Days × 100
  7. Cooling Load = (Mass × Cp × ΔT) ÷ Time
  8. Refrigeration Efficiency % = Cooling Effect ÷ Energy × 100
  9. Post-harvest Loss % = Lost Yield ÷ Harvested × 100
  10. Marketable Surplus % = (Available − Retained) ÷ Available × 100

9. Sustainability & Environment (10 formulas)

  1. Carbon Footprint = Emission Factor × Inputs
  2. Water Productivity = Yield ÷ Water Used
  3. Energy Productivity = Yield ÷ Energy Used
  4. Sustainable Yield Index (SYI) = (Mean Yield − SD) ÷ Max Yield
  5. Soil Health Index = (pH + Organic Carbon + Nutrients)/3

🌍 100 Formulas in Environment & Climate

1. Air & Atmosphere (15 formulas)

  1. Air Quality Index (AQI) = (Pollutant Concentration ÷ Standard) × 100
  2. Particulate Concentration (PM) = Mass ÷ Air Volume
  3. Carbon Monoxide Index = (CO ÷ Standard) × 100
  4. SO₂ Index = (SO₂ ÷ Standard) × 100
  5. NOx Index = (NO₂ ÷ Standard) × 100
  6. Ozone Index = (O₃ ÷ Standard) × 100
  7. Greenhouse Gas Intensity = Emissions ÷ GDP
  8. Air Density = P ÷ (RT)
  9. Air Pressure Drop = ρgh
  10. Mixing Ratio = Water Vapor ÷ Dry Air Mass
  11. Relative Humidity % = (Actual Vapor Pressure ÷ Saturation Vapor Pressure) × 100
  12. Dew Point = T − ((100 − RH)/5)
  13. Visibility Reduction % = (Scattering ÷ Clear Air) × 100
  14. Smog Index = (O₃ + NOx) ÷ 2
  15. Pollution Load = Emission Rate × Time

2. Climate Change & Carbon (15 formulas)

  1. Carbon Footprint = Activity × Emission Factor
  2. CO₂ Equivalent (CO₂e) = Σ(GHG × GWP)
  3. Carbon Intensity = CO₂ ÷ Energy Output
  4. Carbon Offset = Emissions Reduced − Emissions Produced
  5. Carbon Sequestration (Forests) = Biomass × Carbon Fraction
  6. Carbon Sequestration (Soil) = Carbon Stock ÷ Area
  7. Per Capita Emission = Total Emission ÷ Population
  8. Emission Factor = Emission ÷ Activity
  9. Emission Reduction % = (Old − New) ÷ Old × 100
  10. Carbon Neutrality % = (Offset ÷ Emission) × 100
  11. Methane Equivalent (CH₄e) = CH₄ × 25 (GWP)
  12. Nitrous Oxide Equivalent (N₂Oe) = N₂O × 298 (GWP)
  13. Carbon Tax Cost = Emissions × Tax Rate
  14. Carbon Credit Value = Credits × Market Price
  15. Net Zero Index = (Removed ÷ Produced) × 100

3. Water Resources (15 formulas)

  1. Water Quality Index (WQI) = Σ(Qi × Wi) ÷ ΣWi
  2. pH = −log[H⁺]
  3. Dissolved Oxygen % = Actual DO ÷ Saturation DO × 100
  4. BOD (Biological Oxygen Demand) = Initial DO − Final DO
  5. COD (Chemical Oxygen Demand) = Oxygen Used ÷ Volume
  6. Turbidity (NTU) = Scattered Light ÷ Incident Light
  7. Water Hardness (mg/L) = Ca²⁺ + Mg²⁺ Equivalent
  8. Nitrate Index = (NO₃ ÷ Standard) × 100
  9. Fluoride Index = (F⁻ ÷ Standard) × 100
  10. Safe Water Availability = Total Water − Polluted Water
  11. Per Capita Water Use = Water ÷ Population
  12. Water Stress Index = Demand ÷ Supply
  13. Groundwater Recharge = Rainfall × Infiltration %
  14. Evapotranspiration (ET) = Kc × ET₀
  15. Water Use Efficiency = Yield ÷ Water Consumed

4. Weather & Climate Science (15 formulas)

  1. Heat Index (HI) = T + (0.5555 × (e − 10))
  2. Wind Chill (°C) = 13.12 + 0.6215T − 11.37V^0.16 + 0.3965TV^0.16
  3. Solar Radiation (Rs) = (0.25+0.5n/N)Ra
  4. Albedo % = Reflected ÷ Incoming Radiation × 100
  5. Greenhouse Effect % = (Trapped Radiation ÷ Incoming) × 100
  6. Precipitation Intensity = Rainfall ÷ Time
  7. Snow Water Equivalent (SWE) = Snow Depth × Density ÷ Water Density
  8. Stormwater Runoff = Rainfall × Catchment × Runoff Coefficient
  9. Flood Frequency = 1 ÷ Return Period
  10. Heat Wave Index = Days > Threshold ÷ Total Days × 100
  11. Cyclone Energy Index (ACE) = Σ(Vmax² × Duration)
  12. Sea Level Rise Rate = ΔSea Level ÷ Years
  13. Temperature Anomaly = Actual − Average
  14. Urban Heat Island Intensity = Urban Temp − Rural Temp
  15. Global Warming Rate = ΔTemp ÷ Years

5. Energy & Renewable Sources (15 formulas)

  1. Solar Panel Power (P) = Area × Irradiance × Efficiency
  2. Solar Efficiency % = Output ÷ Input × 100
  3. PV Capacity Factor % = Actual ÷ Rated Output × 100
  4. Wind Power (P) = ½ ρAv³
  5. Wind Turbine Efficiency % = Actual ÷ Betz Limit × 100
  6. Hydropower (P) = ρgQHη
  7. Biogas Yield = Waste × Gas Yield Factor
  8. Geothermal Power = Q × η
  9. Wave Energy = ½ ρgH²T
  10. Tidal Power = ½ ρgA²ω²
  11. Energy Payback Ratio = Lifetime Output ÷ Energy Invested
  12. Levelized Cost of Energy (LCOE) = Cost ÷ Energy Produced
  13. Renewable Share % = Renewable ÷ Total Energy × 100
  14. Grid Emission Factor = Emission ÷ kWh
  15. Energy Saving % = (Old − New) ÷ Old × 100

6. Waste Management (10 formulas)

  1. Waste Generation Rate = Waste ÷ Population
  2. Per Capita Waste = Waste ÷ People
  3. Recycling % = Recycled ÷ Total Waste × 100
  4. Composting % = Composted ÷ Waste × 100
  5. Landfill % = Landfilled ÷ Total Waste × 100
  6. Hazardous Waste % = Hazardous ÷ Total Waste × 100
  7. E-waste Ratio % = E-waste ÷ Total Waste × 100
  8. Incineration Efficiency % = Energy Recovered ÷ Waste × 100
  9. Waste Diversion % = (Recycling + Composting) ÷ Waste × 100
  10. Plastic Waste % = Plastic ÷ Total Waste × 100

7. Sustainability & Indices (10 formulas)

  1. Ecological Footprint = Land Needed ÷ Land Available
  2. Biocapacity Ratio = Biocapacity ÷ Footprint
  3. Sustainability Index = Output ÷ Resource Used
  4. Green Building Index = Sustainable Materials ÷ Total Materials × 100
  5. Energy Star Rating % = Standard ÷ Actual Energy × 100
  6. Sustainable Yield Index (SYI) = (Mean − SD) ÷ Max Yield
  7. Resource Use Efficiency % = Output ÷ Input × 100
  8. Pollution Intensity = Emission ÷ Production
  9. Recycling Efficiency % = Output Recycled ÷ Input × 100
  10. Circular Economy Index = Recycled ÷ Total Resources × 100

8. Health & Environment (5 formulas)

  1. Noise Level (dB) = 10 log₁₀(I/I₀)
  2. Noise Pollution Index (LNP) = L10 + (L50−L90)log10(√2)
  3. Radiation Dose (mSv) = Energy Absorbed ÷ Body Mass
  4. Heat Stress Index = (T + RH + Work Load) ÷ 3
  5. Environmental Risk % = Impact ÷ Capacity × 100

🏅 100 Formulas in Sports & Recreation

1. General Sports Performance (15 formulas)

  1. Speed = Distance ÷ Time
  2. Pace (Running) = Time ÷ Distance
  3. Stride Length = Distance ÷ Steps
  4. Cadence (Running) = Steps ÷ Minutes
  5. Calories Burned = MET × Weight × Duration ÷ 60
  6. VO₂ Max (Cooper Test) = (Distance in m − 504.9) ÷ 44.73
  7. Power Output = Work ÷ Time
  8. Work = Force × Distance
  9. Agility Index = Benchmark ÷ Player Time × 100
  10. Reaction Time Index = 1 ÷ Response Time
  11. Acceleration = Δv ÷ Δt
  12. Jump Height = (t² × g) ÷ 8
  13. Throw Distance = v² × sin(2θ) ÷ g
  14. Performance Ratio % = Player Score ÷ Benchmark × 100
  15. Endurance Index = Distance Covered ÷ Time

2. Football / Soccer (10 formulas)

  1. Pass Accuracy % = Completed Passes ÷ Attempted × 100
  2. Shot Accuracy % = Shots on Target ÷ Total Shots × 100
  3. Possession % = Possession Time ÷ Match Time × 100
  4. Goal Conversion % = Goals ÷ Shots × 100
  5. Save % (Goalkeeper) = Saves ÷ Shots on Target × 100
  6. Tackle Success % = Successful Tackles ÷ Attempted × 100
  7. Cross Accuracy % = Successful Crosses ÷ Total Crosses × 100
  8. Dribble Success % = Successful Dribbles ÷ Attempted × 100
  9. Distance per Minute = Distance ÷ Minutes Played
  10. Work Rate Index = Distance ÷ Possession Time

3. Basketball (10 formulas)

  1. Field Goal % (FG%) = FG Made ÷ FG Attempted × 100
  2. Effective FG% (eFG%) = (FGM + 0.5×3PM) ÷ FGA × 100
  3. True Shooting % (TS%) = Points ÷ (2(FGA + 0.44×FTA)) × 100
  4. Free Throw % (FT%) = FT Made ÷ FTA × 100
  5. Rebound Rate % = Rebounds ÷ (Team Rebounds + Opponent Rebounds) × 100
  6. Assist-to-Turnover Ratio = Assists ÷ Turnovers
  7. Player Efficiency Rating (PER) = (Player Stats ÷ Team Pace)
  8. Usage Rate % = (FGA+FTA+TO) ÷ Team Possessions × 100
  9. Defensive Rating = Points Allowed ÷ Possessions × 100
  10. Offensive Rating = Points Scored ÷ Possessions × 100

4. Cricket (10 formulas)

  1. Batting Average = Runs ÷ Outs
  2. Strike Rate (Batting) = Runs ÷ Balls × 100
  3. Bowling Average = Runs Conceded ÷ Wickets Taken
  4. Bowling Economy = Runs Conceded ÷ Overs Bowled
  5. Bowling Strike Rate = Balls ÷ Wickets
  6. Fielding Efficiency % = Successful Catches ÷ Total Chances × 100
  7. Run Rate = Runs ÷ Overs
  8. Partnership Average = Runs ÷ Partnerships
  9. Dot Ball % = Dot Balls ÷ Total Balls × 100
  10. Win Contribution % = Player Runs ÷ Team Runs × 100

5. Tennis (10 formulas)

  1. First Serve % = First Serves In ÷ Attempts × 100
  2. Aces per Match = Total Aces ÷ Matches
  3. Double Fault % = Double Faults ÷ Serves × 100
  4. Break Point Conversion % = Breaks ÷ Chances × 100
  5. Break Point Saved % = Breaks Saved ÷ Chances × 100
  6. Winner-to-Error Ratio = Winners ÷ Errors
  7. Service Game Win % = Service Games Won ÷ Service Games Played × 100
  8. Return Game Win % = Return Games Won ÷ Return Games Played × 100
  9. Total Points Won % = Points Won ÷ Points Played × 100
  10. Tiebreak Efficiency % = Tiebreaks Won ÷ Tiebreaks Played × 100

6. Athletics & Running (10 formulas)

  1. Sprint Speed = Distance ÷ Time
  2. Marathon Pace = Time ÷ Distance
  3. Running Economy = VO₂ ÷ Speed
  4. Stride Frequency = Steps ÷ Time
  5. Fatigue Index % = (Best Sprint − Worst Sprint) ÷ Best × 100
  6. VO₂ Max (Running) = (15 × Max HR ÷ Rest HR)
  7. Heart Rate Reserve (HRR) = HRmax − HRrest
  8. Training Intensity % = HR ÷ HRmax × 100
  9. Recovery Ratio % = Rest HR ÷ Peak HR × 100
  10. Lactate Threshold % = HR at Threshold ÷ HRmax × 100

7. Swimming (10 formulas)

  1. Swim Pace per 100m = Time ÷ Distance × 100
  2. Stroke Rate = Strokes ÷ Minute
  3. Stroke Length = Distance ÷ Strokes
  4. Stroke Efficiency Index (SEI) = Velocity × Stroke Length
  5. Turn Efficiency % = Time Saved ÷ Lap Time × 100
  6. Breath Frequency = Breaths ÷ Lap
  7. Kick Efficiency % = Kick Distance ÷ Total Distance × 100
  8. Swimming Speed = Distance ÷ Time
  9. Drag Coefficient = Force ÷ (½ρv²A)
  10. Energy Cost (Swimming) = Calories ÷ Distance

8. Cycling (10 formulas)

  1. Cycling Speed = Distance ÷ Time
  2. Cadence (Cycling) = Pedal Revolutions ÷ Minute
  3. Power (Cycling) = Torque × Cadence
  4. FTP (Functional Threshold Power) = Avg Power ÷ 60 min
  5. Calories Burned = Power × Time × 4.18
  6. Aerodynamic Drag Force = ½ρCdAv²
  7. Rolling Resistance = Crr × m × g
  8. Climbing Power = mgh ÷ t
  9. Efficiency % = Mechanical Power ÷ Metabolic Power × 100
  10. Gear Ratio = Teeth (Front) ÷ Teeth (Rear)

9. Recreational Games (10 formulas)

  1. Bowling Score (Ten-pin) = Σ(Pins per Frame + Bonus)
  2. Bowling Strike % = Strikes ÷ Frames × 100
  3. Bowling Spare % = Spares ÷ Frames × 100
  4. Golf Handicap = (Score − Course Rating) × 113 ÷ Slope
  5. Golf Putting Accuracy % = Putts Made ÷ Attempts × 100
  6. Golf GIR % = Greens in Regulation ÷ Holes × 100
  7. Chess Performance Rating = Opp Avg + (800 × (Wins−Losses)/Games)
  8. Table Tennis Rally Efficiency % = Points Won ÷ Rallies × 100
  9. Badminton Smash Success % = Smashes Won ÷ Attempts × 100
  10. Volleyball Attack Success % = Kills ÷ Attempts × 100

10. Outdoor & Recreation (5 formulas)

  1. Hiking Pace = Time ÷ Distance
  2. Climbing Efficiency % = Elevation Gain ÷ Energy Spent × 100
  3. Fishing Success % = Fish Caught ÷ Attempts × 100
  4. Archery Accuracy % = Bullseyes ÷ Arrows × 100
  5. Camping Cost per Day = Total Cost ÷ Days

💞 100 Formulas in Human Relationships & Social Life

1. Time & Relationship Balance (15 formulas)

  1. Work-Life Balance % = Personal Hours ÷ Total Hours × 100
  2. Family Time % = Family Hours ÷ Free Hours × 100
  3. Friendship Time % = Time with Friends ÷ Free Hours × 100
  4. Partner Time % = Couple Hours ÷ Free Hours × 100
  5. Social Media Time % = Social Media Hours ÷ Free Hours × 100
  6. Relationship Time Index = Partner Time ÷ (Work + Others) × 100
  7. Weekly Social Engagement % = Social Hours ÷ Week Hours × 100
  8. Bonding Time % = Shared Activities ÷ Total Activities × 100
  9. Interaction Ratio = Positive Interactions ÷ Total Interactions
  10. Conflict Time % = Conflict Hours ÷ Relationship Hours × 100
  11. Daily Family Presence % = Days at Home ÷ Total Days × 100
  12. Quality Time % = Undistracted Hours ÷ Total Hours × 100
  13. Work vs Family Balance Ratio = Work Hours ÷ Family Hours
  14. Friendship Strength Index = Meetups ÷ Planned Meetups × 100
  15. Personal Growth vs Social Ratio = Self-Development Hours ÷ Social Hours

2. Communication & Interaction (15 formulas)

  1. Message Response Time = Time Taken ÷ Messages
  2. Reply Rate % = Replies ÷ Messages × 100
  3. Communication Efficiency % = Understood Messages ÷ Sent Messages × 100
  4. Listening Ratio % = Listening Time ÷ Talking Time × 100
  5. Positive Words % = Positive Words ÷ Total Words × 100
  6. Argument Ratio % = Arguments ÷ Conversations × 100
  7. Conflict Resolution % = Resolved Issues ÷ Total Issues × 100
  8. Miscommunication % = Misunderstandings ÷ Conversations × 100
  9. Trust Communication Index = Honest Conversations ÷ Total Conversations × 100
  10. Daily Check-in % = Check-ins ÷ Days × 100
  11. Online-to-Offline Ratio = Online Chats ÷ In-person Meetings
  12. Message Consistency % = Daily Messages ÷ Average Messages × 100
  13. Empathy Index = Supportive Responses ÷ Requests × 100
  14. Talk Time Balance % = Person A Talk ÷ Person B Talk × 100
  15. Follow-up Rate % = Follow-ups ÷ Promises × 100

3. Emotional & Social Well-being (15 formulas)

  1. Happiness Index = Happy Days ÷ Total Days × 100
  2. Stress-free Days % = Stress-free Days ÷ Total Days × 100
  3. Mood Balance % = Positive Mood ÷ Total Moods × 100
  4. Relationship Satisfaction % = Positive Ratings ÷ Total Ratings × 100
  5. Trust Level % = Trustful Acts ÷ Total Acts × 100
  6. Emotional Support Index = Support Hours ÷ Needed Hours × 100
  7. Conflict-Free Days % = Conflict-Free ÷ Total Days × 100
  8. Apology Ratio % = Apologies ÷ Conflicts × 100
  9. Forgiveness Index % = Forgiven Acts ÷ Total Acts × 100
  10. Love Language Balance % = Acts Given ÷ Acts Needed × 100
  11. Compliment Ratio % = Compliments ÷ Conversations × 100
  12. Affection % = Affectionate Acts ÷ Total Acts × 100
  13. Trust Breach % = Broken Promises ÷ Total Promises × 100
  14. Support Availability % = Times Available ÷ Times Needed × 100
  15. Positivity Index = Positive Experiences ÷ Total Experiences × 100

4. Dating & Romantic Relationships (10 formulas)

  1. Date Frequency % = Dates ÷ Weeks × 100
  2. Date Success % = Enjoyable Dates ÷ Total Dates × 100
  3. Gift Frequency = Gifts ÷ Months
  4. Anniversary Commitment % = Celebrated Anniversaries ÷ Total Anniversaries × 100
  5. Romantic Gesture Index = Gestures ÷ Relationship Months
  6. Love Consistency % = Positive Acts ÷ Months Together × 100
  7. Breakup Risk % = (Conflicts ÷ Quality Time) × 100
  8. Reunion Rate % = Reconciled ÷ Breakups × 100
  9. Trust Recovery % = Trust Restored ÷ Trust Lost × 100
  10. Relationship Growth % = New Milestones ÷ Total Months × 100

5. Friendships & Networking (10 formulas)

  1. Friendship Engagement % = Calls + Meets ÷ Planned × 100
  2. Friendship Longevity % = Years Together ÷ Total Years × 100
  3. Friendship Reciprocity % = Help Given ÷ Help Received × 100
  4. Group Activity Participation % = Attended ÷ Invited × 100
  5. Social Reach = Friends ÷ Average Network Size
  6. Supportive Friendship % = Supportive Friends ÷ Total Friends × 100
  7. Networking Growth % = New Contacts ÷ Old Contacts × 100
  8. Event Attendance % = Events Attended ÷ Events Invited × 100
  9. Friendship Effort Ratio = Initiations ÷ Responses
  10. Shared Interest Index % = Shared Hobbies ÷ Total Hobbies × 100

6. Family & Parenting (10 formulas)

  1. Family Support Index % = Support Acts ÷ Needs × 100
  2. Parent Involvement % = Parent Time ÷ Child Time × 100
  3. Homework Help % = Assisted ÷ Homework Sessions × 100
  4. Meal Together % = Meals Together ÷ Total Meals × 100
  5. Family Communication % = Family Calls ÷ Total Calls × 100
  6. Household Chore Sharing % = Chores Done ÷ Total Chores × 100
  7. Family Harmony Index = Positive Interactions ÷ Total Interactions × 100
  8. Sibling Bond Index = Shared Activities ÷ Planned × 100
  9. Generational Support % = Support to Parents ÷ Needs × 100
  10. Parenting Balance % = Mother Time ÷ Father Time × 100

7. Events & Social Activities (10 formulas)

  1. Event Attendance % = Attendees ÷ Invited × 100
  2. Cost per Person = Total Cost ÷ Guests
  3. Catering Efficiency % = Food Consumed ÷ Food Ordered × 100
  4. Event Success % = Positive Feedback ÷ Total Feedback × 100
  5. Guest Satisfaction % = Happy Guests ÷ Total Guests × 100
  6. Event Planning Accuracy % = Planned vs Actual Tasks × 100
  7. Budget Deviation % = (Actual − Budget) ÷ Budget × 100
  8. Participation Rate % = Participants ÷ Invited × 100
  9. Volunteer Contribution % = Volunteer Hours ÷ Total Hours × 100
  10. Entertainment Success % = Enjoyed ÷ Total Guests × 100

8. Community & Society (10 formulas)

  1. Community Participation % = Activities ÷ Opportunities × 100
  2. Charity Contribution % = Donation ÷ Income × 100
  3. Volunteer Rate % = Volunteers ÷ Population × 100
  4. Civic Engagement % = Civic Acts ÷ Total Acts × 100
  5. Community Happiness Index = Positive Acts ÷ Total Acts × 100
  6. Cultural Event Attendance % = Attendance ÷ Invitations × 100
  7. Religious Participation % = Attended ÷ Events × 100
  8. Neighborhood Support % = Helped ÷ Requests × 100
  9. Social Trust Index = Trustful Interactions ÷ Total × 100
  10. Community Impact % = Beneficiaries ÷ Population × 100

9. Digital & Online Social Life (10 formulas)

  1. Follower Growth % = (New Followers ÷ Old Followers) × 100
  2. Engagement Rate % = Interactions ÷ Followers × 100
  3. Like Ratio % = Likes ÷ Views × 100
  4. Comment Ratio % = Comments ÷ Posts × 100
  5. Social Media Balance % = Social Media Time ÷ Free Time × 100