Converting a Percentage to a Decimal
(KS3, Year 7)

The Lesson

A percentage can be converted to a decimal.

How to Convert a Percentage to a Decimal

Converting a percentage to a decimal is easy. Divide the percentage by 100.

Question

What is 20% as a decimal?

Step-by-Step:

1

Divide the percentage (20) by 100.
20 ÷ 100 = 0.2
Note: Do not write the % (percent) sign after the decimal.

Answer:

20% converted to a decimal is 0.2.

Lesson Slides

The slider below gives another example of converting a percentage to a decimal. Open the slider in a new tab

Top Tip

Short Cut

Converting a percentage to a decimal happens by dividing the percentage by. Dividing by 100 is equivalent to moving the decimal point 2 places to the left:

With practice, it should become easy to visualise this and write the answer down immediately:
1% = 0.01 9% = 0.09 36% = 0.36 72% = 0.72 100% = 1.00
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See Also

What is a percentage?