# Understand How to Convert Percentages to Fractions and Decimals

In this worksheet, students will recognise the percent symbol (%) and understand that percent relates to ‘number of parts per hundred’, writing percentages as fractions with the denominator 100, and as decimals.

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Recognise Percentages

Popular topics:   Percentages worksheets

Difficulty level:

#### Worksheet Overview

In this activity, we will be learning how to convert from percentages into fractions and decimals.

The symbol % stands for percent, which means out of a hundred.

Cent is the French for hundred and the % symbol looks a bit like two zeros with a 1 through them... 0|0.

We can easily convert between percentages, fractions, and decimals as shown in the example below.

45% (45 percent)  is equal to 45/100 (45 hundredths)  =  0.45

78% (78 percent)  is equal to 78/100 (78 hundredths)  =  0.78

5% (5 percent)  is equal to 5/100 (5 hundredths)  =  0.05

40% (40 percent)  is equal to 40/100 (40 hundredths)  =  0.40 = 0.4

Let's try an example question.

Example

What is 23% as a fraction and a decimal?

23% means 23 out of 100 or 23 hundredths.

23 hundredths is written 23/100

23% means 23 out of 100 or 23 hundredths.

23 hundredths is written 0.23

When converting a percentage into a decimal or a fraction, divide by 100.

Now it's your chance to have a go at some questions like this!

Good luck!

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