Converting a Percentage to a Decimal
(KS3, Year 7)
The LessonA percentage can be converted to a decimal.
How to Convert a Percentage to a DecimalConverting a percentage to a decimal is easy. Divide the percentage by 100.
QuestionWhat is 20% as a decimal?
Divide the percentage (20) by 100.
20 ÷ 100 = 0.2Note: Do not write the % (percent) sign after the decimal.
Answer:20% converted to a decimal is 0.2.
Lesson SlidesThe slider below gives another example of converting a percentage to a decimal. Open the slider in a new tab
Short CutConverting 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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