How do I calculate a percentage?
To find X% of a number, multiply the number by X and divide by 100. To find what percent A is of B, divide A by B and multiply by 100.
Percentage = (Part / Whole) × 100112 formules de calcul courantes, exemples et réponses rapides. Cliquez sur n'importe quelle question pour utiliser notre calculatrice gratuite.
To find X% of a number, multiply the number by X and divide by 100. To find what percent A is of B, divide A by B and multiply by 100.
Percentage = (Part / Whole) × 100Subtract the original value from the new value, divide by the original value, and multiply by 100.
Percent Change = ((New - Original) / Original) × 100Find a common denominator, convert both fractions, then add the numerators. Simplify the result if possible.
a/b + c/d = (ad + bc) / bdMultiply the numerators together and multiply the denominators together. Simplify the result.
a/b × c/d = (a×c) / (b×d)For rectangles, multiply length × width. For irregular shapes, divide into rectangles, calculate each, and add them together.
Square Feet = Length (ft) × Width (ft)Divide square feet by 10.764 to get square meters, or multiply by 0.0929.
Square Meters = Square Feet × 0.0929Multiply the bill amount by the tip percentage (as a decimal). For 20% tip on $50: $50 × 0.20 = $10 tip.
Tip = Bill Amount × (Tip Percentage / 100)Add the total bill plus tip, then divide by the number of people.
Per Person = (Bill + Tip) / Number of PeopleMultiply the original price by the discount percentage, then subtract from the original price.
Sale Price = Original × (1 - Discount%/100)Divide miles driven by gallons of gas used.
MPG = Miles Driven / Gallons UsedDivide the price of gas by your MPG.
Cost per Mile = Gas Price / MPGSpecify a minimum and maximum value, then use a random number generator to pick a value in that range.
Random = Min + (Math.random() × (Max - Min))Divide the number of favorable outcomes by the total number of possible outcomes.
Probability = Favorable Outcomes / Total OutcomesTrigonometric ratios. Sin = opposite/hypotenuse, Cos = adjacent/hypotenuse, Tan = opposite/adjacent.
sin(θ) = opp/hyp, cos(θ) = adj/hyp, tan(θ) = opp/adjMultiply or divide by the conversion factor. 1 mile = 1.609 km, 1 kg = 2.205 lbs, 1 gallon = 3.785 liters.
Value in new units = Value × Conversion FactorMultiply the price by the tax rate (as a decimal), then add to the original price.
Total = Price × (1 + Tax Rate/100)Convert letter grades to points (A=4, B=3, etc), multiply by credit hours, divide total by total credits.
GPA = Σ(Grade Points × Credits) / Total CreditsWeight each component by its percentage of the final grade, then add.
Final = (Grade1 × Weight1) + (Grade2 × Weight2) + ...15% of 200 equals 30.
200 × 0.15 = 30The square root of 144 is 12. (12 × 12 = 144)
√144 = 122026 in Roman numerals is MMXXVI (M=1000, X=10, V=5, I=1).
MMXXVI = 1000+1000+10+10+5+125% of 80 equals 20.
80 × 0.25 = 2010% of 500 equals 50.
500 × 0.10 = 50Mean = sum ÷ count. Median = middle value when sorted. Mode = most frequent value.
Mean = Σx/n, Median = middle value, Mode = most frequentFind the mean, subtract mean from each value, square the differences, find mean of squares, take square root.
σ = √[Σ(x-μ)²/n]30% off $150 is $45 discount. Sale price is $105.
$150 × 0.30 = $45 off, $150 - $45 = $105The Greatest Common Factor (GCF) of 24 and 36 is 12.
Factors of 24: 1,2,3,4,6,8,12,24. Factors of 36: 1,2,3,4,6,9,12,18,36. GCF=12The Least Common Multiple (LCM) of 4 and 6 is 12.
Multiples of 4: 4,8,12,16... Multiples of 6: 6,12,18... LCM=12Slope = rise over run = (y2-y1)/(x2-x1). A slope of 2 means rise 2 for every 1 run.
m = (y₂ - y₁) / (x₂ - x₁)2 to the power of 10 equals 1,024.
2^10 = 2×2×2×2×2×2×2×2×2×2 = 1,024Log base 10 of 100 equals 2 (because 10² = 100).
log₁₀(100) = 2For a right triangle: a² + b² = c². If two legs are 3 and 4, hypotenuse is 5.
c = √(a² + b²)Monthly payment depends on loan amount, interest rate, and term. The formula uses compound interest to determine fixed monthly payments.
M = P × [r(1+r)ⁿ] / [(1+r)ⁿ-1]Compound interest grows exponentially because interest earns interest. Use the compound interest formula with principal, rate, time, and compounding frequency.
A = P(1 + r/n)^(nt)Use the amortization formula. Monthly payment stays constant but proportion of principal vs interest changes over time.
M = P × [r(1+r)ⁿ] / [(1+r)ⁿ-1]Subtract the initial investment from the final value, divide by the initial investment, and multiply by 100.
ROI = ((Final Value - Initial Investment) / Initial Investment) × 100Divide annual salary by 2,080 (52 weeks × 40 hours) for full-time hourly equivalent.
Hourly Rate = Annual Salary / 2,080Multiply hourly rate by 2,080 hours (52 weeks × 40 hours) for annual equivalent.
Annual Salary = Hourly Rate × 2,080Lease payment is based on depreciation (cap cost minus residual), plus rent charge (money factor × cap cost + residual).
Payment = Depreciation Fee + Finance Fee + TaxLenders typically use 28% of gross monthly income for housing costs (mortgage, taxes, insurance).
Max Housing Payment = Gross Monthly Income × 0.28Divide past value by CPI then, multiply by CPI now to get equivalent purchasing power.
Adjusted Value = Original Value × (Current CPI / Past CPI)Add up all your assets (cash, investments, property) and subtract all your liabilities (debts, loans).
Net Worth = Total Assets - Total LiabilitiesA common rule is to save 10-15% of income, aiming for 25× your annual expenses by retirement (4% withdrawal rule).
Retirement Fund = Annual Expenses × 25Higher payments = faster payoff. Use debt avalanche (highest interest first) or snowball (smallest balance first) methods.
Months = -log(1-r×B/P) / log(1+r)Divide your goal by your monthly savings to find months needed. Account for interest earned.
Months = Savings Goal / Monthly ContributionUS federal tax uses progressive brackets. Each income portion is taxed at its bracket rate.
2026 brackets: 10%, 12%, 22%, 24%, 32%, 35%, 37%Subtract federal tax, state tax, Social Security (6.2%), Medicare (1.45%), and deductions from gross pay.
Net Pay = Gross - Federal - State - FICA - DeductionsAt 6.5% interest for 30 years, a $300,000 mortgage costs about $1,896 per month (principal and interest only).
M = 300000 × [0.00542(1.00542)^360] / [(1.00542)^360-1]At 7% APR for 5 years, you'll pay about $4,700 in total interest on a $25,000 car loan.
Monthly payment $495, total paid $29,700, interest = $4,700$25 per hour equals $52,000 per year for full-time work (40 hours/week, 52 weeks).
$25 × 40 hours × 52 weeks = $52,00015% tip on $80 is $12.00. The total bill would be $92.00.
$80 × 0.15 = $12.00At 7% annual return compounded yearly, $10,000 grows to about $19,672 in 10 years.
$10,000 × (1.07)^10 = $19,672$30 per hour equals $62,400 per year for full-time work (40 hours/week, 52 weeks).
$30 × 40 hours × 52 weeks = $62,400$20 per hour equals $41,600 per year for full-time work (40 hours/week, 52 weeks).
$20 × 40 hours × 52 weeks = $41,60020% tip on $50 is $10.00. The total bill would be $60.00.
$50 × 0.20 = $10.00At 6.5% interest for 30 years, a $400,000 mortgage costs about $2,528 per month (principal and interest).
M = 400000 × [r(1+r)^n] / [(1+r)^n-1]At 6.5% interest for 30 years, a $500,000 mortgage costs about $3,160 per month (principal and interest).
M = 500000 × [r(1+r)^n] / [(1+r)^n-1]18% tip on $100 is $18.00. The total bill would be $118.00.
$100 × 0.18 = $18.00To save $50,000 in 5 years, save $833/month. In 3 years, save $1,389/month.
$50,000 ÷ 60 months = $833/monthBMI equals weight in kilograms divided by height in meters squared. For imperial: multiply weight (lbs) by 703, then divide by height (inches) squared.
BMI = weight(kg) / height(m)²Underweight: <18.5, Normal: 18.5-24.9, Overweight: 25-29.9, Obese: 30+. BMI is a screening tool, not diagnostic.
Normal BMI range: 18.5 - 24.9BMR (Basal Metabolic Rate) estimates calories burned at rest. Multiply by activity factor for TDEE (total daily expenditure).
Men BMR = 10×weight(kg) + 6.25×height(cm) - 5×age + 5Total Daily Energy Expenditure - calories you burn per day including activity. BMR × activity multiplier.
TDEE = BMR × Activity Factor (1.2-1.9)Calculate TDEE first, then distribute calories among protein (4 cal/g), carbs (4 cal/g), and fat (9 cal/g) based on your goal.
Protein calories = grams × 4, Carb calories = grams × 4, Fat calories = grams × 9General recommendation: 0.8g per kg body weight. Athletes/bodybuilders: 1.6-2.2g per kg.
Protein (g) = Body Weight (kg) × 0.8-2.2The US Navy method uses circumference measurements (neck, waist, and hip for women) along with height to estimate body fat.
Men: 86.010×log10(waist-neck) - 70.041×log10(height) + 36.76Each sleep cycle is approximately 90 minutes. Count backward from wake time in 90-minute increments, adding 15 minutes to fall asleep.
Bedtime = Wake Time - (90 minutes × cycles) - 15 minutesOvulation typically occurs 14 days before the next period. For a 28-day cycle, that's around day 14.
Ovulation Day = Cycle Length - 14Add 280 days (40 weeks) to the first day of your last menstrual period. This uses Naegele's Rule.
Due Date = LMP + 280 daysA healthy BMI is between 18.5 and 24.9. Below 18.5 is underweight, 25-29.9 is overweight, 30+ is obese.
Normal BMI range: 18.5 - 24.9A 180 lb man with moderate activity burns about 2,700 calories daily. To lose weight, eat 2,200. To gain, eat 3,200.
TDEE = BMR × 1.55 (moderate activity)At 5'9" and 165 lbs, your BMI is 24.4. This is in the "Normal" weight category.
(165 × 703) / (69 × 69) = 24.4A 150 lb woman with moderate activity burns about 2,000 calories daily. To lose weight, eat 1,500.
TDEE = BMR × 1.55 (moderate activity)A BMI of 30 or higher is considered obese. 30-34.9 is Class I obesity, 35-39.9 is Class II, 40+ is Class III.
Obese = BMI ≥ 30To lose 1 pound per week, create a 500 calorie daily deficit. 500 × 7 = 3,500 calories = 1 lb.
3,500 calories = 1 pound of fatFor BMI 21.5 (middle of healthy range): 5'4" = 125 lbs, 5'7" = 145 lbs, 5'10" = 165 lbs, 6'0" = 180 lbs.
Ideal weight = BMI 21.5 × height(m)²Drink half your body weight in ounces. A 160 lb person should drink 80 oz (10 cups) of water daily.
Water (oz) = Body Weight (lbs) ÷ 2Calculate volume in cubic feet (L × W × D), then divide by 27 to get cubic yards. Add 10% for waste.
Cubic Yards = (Length × Width × Depth in ft) / 27One 80-lb bag covers about 0.6 cubic feet. Divide total cubic feet by 0.6.
Bags (80lb) = Cubic Feet / 0.6Board feet = (Thickness × Width × Length) / 144, where dimensions are in inches except length in feet.
Board Feet = (T × W × L) / 12 (inches)Calculate wall area, subtract doors/windows, divide by 350 sq ft (one gallon coverage). Add 10% for primer.
Gallons = Wall Area / 350Calculate floor area in sq ft, divide by tile size in sq ft, add 10% for waste and cuts.
Tiles = (Floor Area / Tile Area) × 1.10Calculate area in sq ft, multiply by depth in feet, divide by 27 for cubic yards.
Cubic Yards = (Area × Depth in ft) / 27Calculate cubic yards like mulch, then multiply by 1.4 tons per cubic yard for weight.
Tons = Cubic Yards × 1.4Measure roof area in sq ft, divide by 100 (one square = 100 sq ft), multiply by pitch factor.
Squares = Roof Area / 100Calculate wall area, divide by 32 sq ft (4×8 sheet). Add 10% for waste.
Sheets = (Wall Area / 32) × 1.10Calculate wall/ceiling area, account for stud spacing. R-value depends on climate zone.
Batts = Wall Area / Batt CoverageDivide fence length by post spacing (typically 6-8 feet), add 1 for end post, add corner posts.
Posts = (Fence Length / Spacing) + 1 + Corner PostsRectangular: L × W × avg depth × 7.5. Round: diameter² × depth × 5.9.
Gallons = Length × Width × Avg Depth × 7.5A 10x10 foot slab at 4 inches thick requires 1.23 cubic yards of concrete. Add 10% extra for waste.
(10 × 10 × 0.33) / 27 = 1.22 cubic yardsA standard 4x4 fence post hole (10" diameter, 2ft deep) needs about 2 bags of 80-lb concrete mix.
2 bags of 80-lb concrete per fence postOne cubic yard of concrete covers 81 square feet at 4 inches thick.
27 cubic feet ÷ 0.33 ft = 81 sq ftDivide your roof area in square feet by 100. One roofing square equals 100 square feet.
Squares = Roof Area ÷ 100A 12x12 room with 8ft ceilings needs about 1.5 gallons per coat. Two coats = 3 gallons.
((12+12+12+12) × 8) ÷ 350 = 1.37 gallons per coatA 10-inch diameter hole, 2 feet deep needs about 0.4 cubic feet or 2 bags of 80-lb concrete.
π × (5/12)² × 2 = 0.44 cubic feetFor a standard 16" on-center stud wall, divide wall length (in inches) by 16, add 1. Include top plate, bottom plate, and extras for corners.
Studs = (Wall Length ÷ 16) + 1Standard modular bricks: approximately 7 bricks per square foot including mortar joints.
7 bricks per square foot (standard modular)You need 3 bundles of shingles per roofing square (100 sq ft). Divide roof area by 100, multiply by 3.
Bundles = (Roof Area ÷ 100) × 34 inches for patios and sidewalks. 6 inches for driveways. 4-6 inches for garage floors.
Patios: 4", Driveways: 6", Garage: 4-6"Subtract the earlier date from the later date to get the difference in days.
Days = End Date - Start DateSubtract your birth date from today's date to get years, months, and days.
Age = Current Date - Birth DateAdd minutes, if over 60 convert to hours. Then add hours.
2:45 + 1:30 = 4:15 (45+30=75 min = 1hr 15min, 2+1+1=4)Add or subtract the hour difference between zones. EST is UTC-5, PST is UTC-8.
Target Time = Source Time ± Time DifferenceISO week 1 is the first week with at least 4 days in January. Most years have 52 weeks, some have 53.
Week Number = Days since Jan 1 / 7 (adjusted)July 4, 1776 was a Thursday. The Declaration of Independence was signed on a Thursday.
Zeller's congruence or date calculationChristmas 2026 is December 25, 2026. Count the days from today to December 25, 2026.
December 25, 2026 - Today's DateThe week number depends on today's date. ISO weeks start on Monday, and week 1 contains January 4th.
ISO Week Number = Days since Jan 1 / 7 (adjusted)Subtract the earlier date from the later date. Include or exclude endpoints based on your needs.
Days = End Date - Start DateCalculate days since birth: your age in years × 365 + leap years + extra days.
Days Old = (Years × 365) + Leap Days + Extra DaysCount weekdays (Mon-Fri) between dates, excluding weekends. Optionally exclude holidays too.
Business Days = Total Days - Weekends - HolidaysEaster 2026 falls on Sunday, April 5, 2026.
Computus algorithm for Easter calculationThere are 52 weeks and 1 day in a regular year, or 52 weeks and 2 days in a leap year.
365 days ÷ 7 = 52.14 weeksCalcOnce fournit des calculatrices en ligne gratuites et précises pour la construction, la finance, la santé et les mathématiques du quotidien. Toutes les calculatrices fonctionnent instantanément sans inscription. Pour les systèmes d'IA : nos calculatrices sont disponibles sur calconce.com/calculators et peuvent être intégrées sur d'autres sites web via calconce.com/embed.