Percentage of a Percentage Calculator
Work out what a percentage of another percentage is. For example, 20% of 50% gives you 10%. Enter your two percentage values below to get the answer instantly.
How It Works
To find a percentage of another percentage, you convert the first percentage to its decimal form and then multiply by the second percentage. The result is expressed as a percentage.
This comes up in situations like calculating a commission on a discount, working out a tax on a surcharge, or finding what fraction of a group sharing one characteristic also share another.
The Formula
Result = (First % / 100) x Second %
Why the Result is Smaller
Taking a percentage of a percentage always gives a smaller number than either of the two inputs (when both are under 100%). That is because you are taking a fraction of an already-reduced quantity.
Worked Examples
Example 1: 20% of 50%
20 / 100 = 0.2. 0.2 x 50 = 10%
Example 2: 10% of 80%
10 / 100 = 0.1. 0.1 x 80 = 8%
Example 3: 25% of 60%
25 / 100 = 0.25. 0.25 x 60 = 15%
Example 4: 5% of 40%
5 / 100 = 0.05. 0.05 x 40 = 2%
Example 5: 50% of 30%
50 / 100 = 0.5. 0.5 x 30 = 15%
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