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Tricks · Dividing and percentages

Swap the percentage

A percentage that is awkward one way but easy the other, such as 8% of 50.

x% of y = y% of x

The trick, step by step

  1. Swap the numbers: 8% of 50 is the same as 50% of 8.

  2. 50% is half, and half of 8 is 4.

  3. So 8% of 50 = 4.

given working answer taken away

Why it works

x% of y = x × y ÷ 100 = y% of x, because the two numbers can be multiplied in either order.

Practise this trick