Calculator Problems

How to Calculate a Percentage: Three Common Questions

Most percentage problems are one of three questions: what is X percent of a number, what percent is one number of another, or how much did a value rise or fall. Each has its own formula, and picking the right one is the main step.

Last updated: 2 November 2026

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Step-by-step

  1. Decide which question you are asking from the three on this page.
  2. For a percentage of a number, multiply the number by the percentage and divide by 100.
  3. For what percent one number is of another, divide the part by the whole and multiply by 100.
  4. Enter the values in the Percentage Calculator and check that the result is reasonable.
  5. For an increase or decrease, use the percentage change guide, which measures from the starting value.

Percentage of a number

15% of 80 is 80 × 15 ÷ 100 = 12. The same result comes from multiplying by 0.15.

What percent is one number of another

If 12 out of 80 passed a test, the share is 12 ÷ 80 × 100 = 15%. Always divide the part by the whole, not the other way round.

Increase and decrease

To add a percentage, multiply by 1 plus the percentage as a decimal: 80 increased by 25% is 80 × 1.25 = 100. To subtract, multiply by 1 minus the percentage: 100 reduced by 20% is 80. Note that going from 80 up to 100 is a 25% rise, while going from 100 back down to 80 is a 20% fall, because each percentage is measured from a different starting value.

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FAQ

Frequently asked questions

How do I calculate 15% of a number?

Multiply the number by 15 and divide by 100. For 80, that gives 12.

How do I find what percent one number is of another?

Divide the part by the whole and multiply by 100. 12 out of 80 is 15%.

Why is a 20% rise followed by a 20% fall not back to the start?

Each percentage is measured from a different value. 100 up 20% is 120, and 120 down 20% is 96.

What is the difference between a percentage and a percentage point?

A percentage point is the simple difference between two percentages. Going from 10% to 12% is 2 percentage points, but a 20% relative increase.