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maths · 35 seconds

The percentage swap trick

A surprising shortcut for mental percentages.

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Try it yourself

Find 4 percent of 75 by swapping the numbers.

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Illustrations generated with OpenArt. Narration uses free local Kokoro neural voices. Illustrations are visual aids; the written lesson carries the explanation.

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A friendlier calculation

What is 8 percent of 50? Swap the numbers: 50 percent of 8 is much easier.

8% of 50

Same multiplication

Both calculations multiply 8 by 50, then divide by 100. The order of multiplication does not change the result.

8 × 50 / 100

Try another

16 percent of 25 equals 25 percent of 16. One quarter of 16 is 4.

16% of 25 = 4

Know the boundary

This works for one percentage of a number. Successive percentage changes have different bases and need separate steps.

a% of b = b% of a

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