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Calculators

Percentage Calculator

Calculate a percentage of a number, compare one value with another, measure change, or adjust a value—all on one page.

Result

Enter values to calculate

What is a percentage?

A percentage describes a quantity per hundred. For example, 20% means 20 out of every 100, or 0.2 as a decimal.

Percentage formulas

  • Percent of a number: value × percent ÷ 100.
  • What percent: part ÷ whole × 100.
  • Percentage change: (new − old) ÷ old × 100.

How to calculate a percentage of a number

Convert the percentage to a decimal by dividing by 100, then multiply by the number. Thus, 20% of 150 is 150 × 20 ÷ 100 = 30.

How to find what percentage one number is of another

Divide the part by the whole and multiply by 100. For example, 45 ÷ 300 × 100 = 15%. The whole cannot be zero.

How percentage change works

Subtract the starting value from the new value, divide by the starting value, and multiply by 100. This calculator requires a positive starting value so the interpretation remains clear.

Percentage increase vs decrease

An increase adds the percentage portion to the base; a decrease subtracts it. A decrease above 100% can cross zero and produce a negative result.

Practical examples

A price of 200 increased by 12.5% becomes 225. The same base decreased by 12.5% becomes 175. A value moving from 50 to 75 is a 50% increase.

Common mistakes

Do not confuse a percentage change with a percentage-point change. Check which value is the whole, and remember that reversing old and new values changes the result.

Frequently asked questions

Can a percentage exceed 100%?

Yes. It can describe a quantity larger than the reference amount. Percentage inputs can exceed 100 where the operation makes mathematical sense.

Are decimals supported?

Yes. You can enter decimal values in every mode.