What percent is it?

You learn to work out what percentage something is, like 12 out of 48.

How to work it out

  1. Write the part above the line and the whole below it.
  2. Simplify the fraction if you can.
  3. Make it hundredths: multiply the top and the bottom by the same number.
  4. Read the percentage: the number over 100.

A worked example

15 out of 60 = ?%

  1. Write it as a fraction: 1560.
  2. Simplify it: 1560 = 14.
  3. Multiply the top and the bottom by 25: 14 = 25100.
  4. It is 25%.
More examples

8 out of 40 = ?%

  1. Write it as a fraction: 840.
  2. Simplify it: 840 = 15.
  3. Multiply the top and the bottom by 20: 15 = 20100.
  4. It is 20%.

18 out of 24 = ?%

  1. Write it as a fraction: 1824.
  2. Divide the top and the bottom by 6: 1824 = 34.
  3. Multiply the top and the bottom by 25: 34 = 75100.
  4. It is 75%.

Try it yourself

  1. 9 out of 36 = ?%

  2. 12 out of 48 = ?%

Watch out

  • You put the whole above the line: 4812.

    The part goes on top, the whole underneath. Then your answer is never more than 100%.

  • You write the fraction straight away as a percentage: 14 becomes 14%.

    Make hundredths first: 14 = 25100. The number over the 100 is the percentage.

Tips

  • If you know the fractions by heart, like 14 is 25% and 15 is 20%, you are done straight away.

Why it works

12 out of 48 is a fraction: 1248. A percentage is a fraction with 100 below the line. If you simplify the fraction first, it is easy to turn it into hundredths.