Percent of Percent

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Percent of Percent Calculation:

  •  P1 =
    First Percent

    The first percentage taken from the whole.

  •  P2 =
    Second Percent

    The second percentage applied to the first percentage result.

  •  PF =
    Combined Percent

    The single equivalent percentage of the original whole.

  • Decimals

    Choose the number of decimals to show in your answer. This is also known as significant figures. Select an appropriate amount of significant figures based on the precision of the input numbers.

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Percent of Percent Formula

When one percentage is taken from another percentage, multiply their decimal forms to get one equivalent percentage of the original whole.

combined percent = (P1 / 100) x (P2 / 100) x 100

Live Diagram

The shaded boxes show the first percentage and the smaller percentage that remains after the second step.

Percent of Percent Variables

First Percent
The first percentage taken from the original whole.
Second Percent
The percentage then taken from the first result.
Combined Percent
The one-step equivalent percentage of the original whole.

How the Calculation Works

  1. Convert both percentages to decimals.
  2. Multiply the decimals together.
  3. Convert the result back to a percentage.

Percent of Percent Example

What is 15% of 50%?

  • combined percent = 0.15 x 0.50 x 100
  • combined percent = 0.075 x 100
  • combined percent = 7.5%

Taking 15% of 50% is the same as taking 7.5% of the original amount.