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Tricks · Dividing and percentages

Percentages from 10% and 1%

Any whole percentage of an amount, such as 23% of 400.

p% of n

The trick, step by step

  1. 10% is a tenth: 10% of 400 = 40. 1% is a hundredth: 4.

  2. Split the percentage: 23% = 2 × 10% + 3 × 1%.

  3. Add: 80 + 12 = 92.

given working answer taken away

Why it works

Percent means per hundred: 10% is ÷ 10 and 1% is ÷ 100. Any whole percentage is some tens and some ones, so it is built from those two.

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