Percent of a Percent Calculator

Use this calculator when one rate applies to another rate, or when two percentages are applied in sequence to the same amount. 20% of 50% is 10%, not 70% and not 30%.

How this is calculated

Multiply the two percents and divide by 100 to get a combined percent. If you also have an amount, multiply the amount by both decimal rates.

(X × Y) / 100, or amount × (X / 100) × (Y / 100)

  1. 20% of 50% is (20 × 50) / 100 = 10%.
  2. 10% of 30% of 200 is 200 × 0.10 × 0.30 = 6.
  3. The order of the two percents does not matter for this product.

Successive increases are not this formula. Increasing by 10% then 20% is multiply by 1.10 then 1.20. This tool multiplies the rates themselves.

Not the same as

A percent of a percent is a product of rates, not a running total.

What is X percent of Y?

Apply a single percent to a number.

Increase or decrease by a percent

Apply one percent as a raise or a cut.

Reverse percentage

Undo a percent that has already been applied.

Percent-of-a-percent questions

10%. Multiply 20 by 50 and divide by 100.

6. Multiply 200 by 0.10, then by 0.30.

Yes. Multiplication is commutative, so both equal 10%.

Not for this question. 20% + 50% = 70%, which is a different operation.

That is one percent and one number. Use the percent-of calculator.

Open percent of a number