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Math

Free Online Percentage Calculator

Find percentages, percentage change, and increases or decreases in seconds with clear formula breakdowns.

What is X% of Y?

%

Results update instantly. Switch modes to compare percentage calculations.

Result
16

20% of 80 = 16

result = (20 ÷ 100) × 80

What is Percentage Calculator?

A percentage expresses a number as a fraction of 100 and is one of the most common ways to describe proportions, discounts, changes, and rates in everyday life. This free percentage calculator handles the four most-used calculations in one place: what is X% of Y, what percent of Y is X, percentage change from one value to another, and increasing or decreasing a number by a percent. It is also a handy percent calculator for sale prices, tips, tax rates, and growth rates, with each result explained by the underlying formula.

How to use it

  1. Pick the tab that matches your question (percent of, percent of total, change, or increase/decrease).
  2. Enter the two numbers the calculator asks for.
  3. Read the result and the formula used to reach it.
  4. Switch tabs or adjust inputs to compare calculations side by side.

Percentage formulas

Percent of a number: result = (percent ÷ 100) × number. Percent of total: percent = (part ÷ whole) × 100. Percentage change: ((new − old) ÷ old) × 100. Increase/decrease: result = number × (1 ± percent ÷ 100).

Frequently asked questions

Divide the percentage by 100, then multiply by the number. For example, 20% of 80 = (20 ÷ 100) × 80 = 16. This calculator applies the formula automatically.

Percentage change measures movement from an original value to a new one, so order matters: ((new − old) ÷ old) × 100. Percentage difference compares two values without a clear starting point, dividing by their average.

Use the 'increase or decrease by a percent' tab with a negative value, or multiply the price by (1 − discount ÷ 100). A $50 item at 30% off costs $50 × 0.70 = $35.

A negative percentage change means the value decreased. A positive number means it increased. The sign tells you the direction of the change.

Percentage change is undefined when the original value is zero, because you cannot divide by zero. In that case this calculator shows no result rather than an incorrect value.

Divide the numerator by the denominator, then multiply by 100. For example, 3 ÷ 4 = 0.75, which is 75%.