Help your students prepare for their Maths GCSE with this free one number as a percentage of another worksheet of 43 questions and answers
It can often be useful to write one number as a percentage of another. Common examples of when we might write one number as a percentage of another include for test scores, when talking about attendance to school or to an event or when working out discounts.
There are two ways to write one number as a percentage of another. The first is to use equivalent fractions by finding a fraction with a denominator of 100. The numerator is then the percentage because percent means out of 100. For example, 7 over 10 is equal to 70 over 100 which is equal to 70%.
The second way is to use a calculator. We can divide the numerator by the denominator to find the decimal and then multiply by 100 to get the percentage. For example to write 31 over 40 as a percentage we can calculate 31 ÷ 40 x 100 = 77.5%.
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