Percent of a Percent Calculator

Last updated: June 2026

Base value

First percentage

Second percentage

Final value

Combined percentage

10%

Step-by-step working

50% of 200 = 100.
20% of 100 = 20.
Combined percentage = 50 x 20 / 100 = 10%.

About this calculator

The Percent of a Percent Calculator handles two-step percentage questions, such as finding 20% of 50% of a value. It also shows the combined percentage so the calculation is easier to understand.

percent of a percent calculator formula

Convert each percentage to a decimal, multiply them together, then multiply by the base value. The combined percentage is p1 x p2 / 100.

result = (p1 / 100) x (p2 / 100) x base
combined percent = p1 x p2 / 100

How to use the percent of a percent calculator

Enter the base value.
Enter the first percentage.
Enter the second percentage.
Apply the first percentage to the base.
Apply the second percentage to that result.
Check the combined percentage.

Worked examples

Percentage of a discount pot

Input: 20% of 50% of 200

Calculation: 50% of 200 = 100; 20% of 100 = 20

Result: 20

Combined percentage

Input: 30% of 40%

Calculation: 30 x 40 / 100

Result: 12%

Two-step percentage questions

The order does not change the combined percentage, but showing the steps can make the meaning clearer.

Common mistake

Do not add the percentages. 20% of 50% is 10%, not 70%.

Percentage calculation note

This calculator is for education, checking, and general planning. Percentage results depend on the inputs and the chosen method, so check whether your question asks for percent change, percent difference, percent error, reverse percentage, or a simple conversion.

Percent change has direction, but percent difference does not.
Reverse percentage calculations can be confused with percentage increase or decrease.
Rounded percentages may not reverse exactly to the original values.

Frequently asked questions

Does this show the working?

Yes. The percentage calculators show the key formula and calculation steps.

What does percent mean?

Percent means per hundred, so 25% means 25 out of 100.

Why do some percentage answers differ?

Different percentage questions use different reference values. Percent change, percent difference, and percent error are not the same.

Can percentages be more than 100?

Yes. A percentage can be above 100 when a value is larger than the reference whole.

Should I round the answer?

Round only to the precision required by your homework, report, invoice, or calculation context.

Related calculators

Percent to Decimal Calculator
Percentage Calculator
Percent to Total Calculator

What does this mean?

This calculator is designed to help you understand the likely number before you make a decision or start an application.

Your result should be checked against official UK guidance, especially if your circumstances include dependants, exemptions, prior leave, or a complex immigration history.

Treat the figure as a planning tool rather than legal advice. Where the answer affects an application deadline or major payment, speak to an authorised adviser.