Math • Percentages

Percentage of a Percentage Calculator

Enter any two or more related values, then click Calculate.

Percentage of a percentage

1st percentage

2nd percentage

Cumulative percentage

Percentage of a value

Original value

Value after 1st percentage

Final value

Tip: You can type into any related fields. The calculator keeps your entered values and solves only the missing ones.

Results

Results will appear here after calculation.

Cumulative percentage —

Final value —

1st percentage —

2nd percentage —

Cumulative percentage —

Original value —

Value after 1st percentage —

Final value —

Ready

Use this Percentage of a Percentage Calculator to find one percentage of another percentage, calculate the combined percentage, or find the final value after two percentage stages.

Calculation Method

Cumulative percentage = first percentage × second percentage ÷ 100

If an original value is included:

Intermediate value = original value × first percentage ÷ 100

Final value = original value × (first percentage ÷ 100) × (second percentage ÷ 100)

Example

Find 25% of 40%:

25 × 40 ÷ 100 = 10%

If the original value is 500:

500 × 0.25 × 0.40 = 50

So 25% of 40% equals 10% of the original amount.

Important Note

When one percentage is applied to another, the percentages multiply rather than add. For example, 20% of 30% is 6%, not 50%.

Source

OpenStax Prealgebra — Understanding Percent

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