Calculators

Percentage Calculator

Eight percentage scenarios in one place — find a percent of a number, compute change between values, work out discounts, taxes, tips, markups, and compound growth, with formulas and explanations built in.

X% of Y

What is

Result

25 percent of 200 is 50.

Formula

(percent / 100) × value

With your values

(25 / 100) × 200 = 50

Visualization

25%

Use result in

Quick presets

Sales tax

Add a regional sales-tax rate to a base price.

Tip on a bill

Common tip rates on a restaurant bill.

Discount / markdown

Standard sale labels — see the final price and savings.

Markup

Add a margin to cost price to find retail.

Grade

Convert a score (e.g. 85/100) to a percentage and letter grade.

Reference

Mental shortcuts

·10% = move the decimal one place left.
·50% = halve it.
·25% = take a quarter.
·1% = move the decimal two places left.
·Doubling something = +100%.

Formulas

X% of Y(X/100) × Y
X is what % of Y(X/Y) × 100
% change((new − old)/old) × 100
Add X% to YY + (X/100) × Y
Subtract X% from YY − (X/100) × Y
Reverse(value/percent) × 100
% difference|a − b| / ((a+b)/2) × 100
Compoundstart × (1 + rate/100)^n

Percent vs percentage points

An interest rate going from 4% to 5% is +1 percentage point, but a +25% change. Percentage-point is an absolute difference; percent is a relative one.

Real-life examples

·A $250 jacket marked 20% off costs $200 (you save $50).
·Last quarter: 1.2M users. This quarter: 1.5M — a +25% change.
·A $1,000 investment at 5%/year compounds to $1,628.89 after 10 years.
·$85 dinner + 20% tip + 8% tax ≈ $109.65 total.

History

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