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Percent of a Percent Calculator

Calculate one percent of another percent, such as 50% of 80%, shown as a percent and as a decimal.

What this tool does

Calculate one percent of another percent, such as 50% of 80%, shown as a percent and as a decimal. You fill in these fields: First percent and Second percent. It shows first percent of second percent and as a decimal.

Inputs

  • First percent: A number.
  • Second percent: A number.

How to use

  1. Enter the first percent.
  2. Enter the second percent.
  3. Read the result: first percent of second percent and as a decimal. It appears once every required field has a valid value.

Worked examples

Example 1. Inputs:

  • First percent: 50
  • Second percent: 80

Results:

  • First percent of second percent: 40%
  • As a decimal: 0.4

How this is worked out: Percent of a value: (a x b) / 100 = (50 x 80) / 100 = 4000 / 100 = 40. The decimal card is 40 / 100 = 0.4.

Example 2. Inputs:

  • First percent: 25
  • Second percent: 40

Results:

  • First percent of second percent: 10%
  • As a decimal: 0.1

How this is worked out: (25 x 40) / 100 = 1000 / 100 = 10. The decimal card is 10 / 100 = 0.1.

Example 3. Inputs:

  • First percent: 150
  • Second percent: 200

Results:

  • First percent of second percent: 300%
  • As a decimal: 3

How this is worked out: (150 x 200) / 100 = 30000 / 100 = 300. Percentages above 100 follow the same formula. The decimal card is 300 / 100 = 3.

Example 4. Inputs:

  • First percent: 100
  • Second percent: 35

Results:

  • First percent of second percent: 35%
  • As a decimal: 0.35

How this is worked out: 100 percent of a value is the whole value: (100 x 35) / 100 = 3500 / 100 = 35. The decimal card is 35 / 100 = 0.35.

Where this comes from

One percent of another percent. The first percent is taken of the second percent, which gives a percent. That percent is then taken of 1 to write it as a decimal.

A percent of a number. The percent is multiplied by the number and divided by 100. Source: Arithmetic: a percent is a number of parts in one hundred, so percent x number / 100.

Limitations

  • The result is the first percent times the second, divided by 100. It does not measure a change over time.
  • The tool does not decide which value is the right base for a business or statistical comparison.

FAQs

Q: How is the answer worked out?
A: The tool multiplies the two percentages and divides by 100. For 50 percent of 80 percent, 50 x 80 = 4000, and 4000 / 100 = 40, so the answer is 40%.
Q: What does the decimal line show?
A: The same answer written as a decimal, which is the answer divided by 100. For 40% it shows 0.4.
Q: Can I enter percentages above 100?
A: Yes. The same formula applies, so 150% of 200% gives 300%.

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