Percentage of a Percentage
Multiply the two percentages and divide by 100. If 40% of 5,000 people are women and 25% of those are in their twenties, that group is 10% of everyone — 500 people. Adding to get 65% means something else entirely.
Your numbers
Of the whole
10%
Result
500
Part
2,000
Formula
Of the whole = Outer share × Inner share ÷ 100
The whole thing turns on “of those” versus “of everyone”. Miss it while reading a survey and you can misjudge the size by several times.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| WholeThe reference total — you divide by this. | 5,000 | 0 and up |
| Outer share (%)The share carved out of the whole first. | 40 | 0 ~ 100 |
| Inner share (%)The share counted inside that slice. | 25 | 0 ~ 100 |
Step by step
Quick reference table
Results when only Outer share (%) changes and everything else stays put.
| Outer share (%) | Of the whole (%) | Result | Part |
|---|---|---|---|
| 20 | 5 | 250 | 1,000 |
| 30 | 7.5 | 375 | 1,500 |
| 40 | 10 | 500 | 2,000 |
| 60 | 15 | 750 | 3,000 |
| 80 | 20 | 1,000 | 4,000 |
What each result means
| Result | At default values |
|---|---|
| Of the whole (%)The two shares multiplied, back on the scale of the whole. | 10 |
| ResultWhat the formula gives back — the answer this page is for. | 500 |
| PartThe slice taken out of the whole. | 2,000 |
Common mistakes
The whole thing turns on “of those” versus “of everyone”. Miss it while reading a survey and you can misjudge the size by several times.
Glossary
- Whole
- The reference total — you divide by this.
- Outer share
- The share carved out of the whole first.
- Inner share
- The share counted inside that slice.
- Of the whole
- The two shares multiplied, back on the scale of the whole.
- Result
- What the formula gives back — the answer this page is for.
- Part
- The slice taken out of the whole.
Frequently asked questions
Q. How is Percentage of a Percentage calculated?
Of the whole = Outer share × Inner share ÷ 100 — Multiply the two percentages and divide by 100. If 40% of 5,000 people are women and 25% of those are in their twenties, that group is 10% of everyone — 500 people. Adding to get 65% means something else entirely.
Q. Can you walk through an example?
With Whole 5,000, Outer share 40%, Inner share 25%, the answer is Of the whole 10%.
Q. What do I need to enter?
Enter Whole, Outer share, Inner share. The result recalculates as you type, and an empty box counts as zero.
Q. How much does the answer move if I change a number?
Changing only Outer share (%) moves the answer to Outer share (%) 20 → Of the whole (%) 5 and Outer share (%) 80 → Of the whole (%) 20. The table below lays out five steps.
Q. How are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
Q. Anything to watch out for?
The whole thing turns on “of those” versus “of everyone”. Miss it while reading a survey and you can misjudge the size by several times.
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