Finding the Percentage of a Number
(KS3, Year 7)
The LessonA percentage of a number lets us find part of a number. Imagine 60% (60 percent) of a class of 25 students love mathematics. 15 students (60% of 25) love mathematics.
How to Find the Percentage of a NumberTo find the percentage of a number you have to divide the percentage by 100 then multiply the answer by the number:
A Real Example of How to Find the Percentage of a Number
QuestionWhat is 60% of 25?
Write a percentage of a number as a percentage/100 × number, like the formula above. In our example, the number is 25 and the fraction is 60.
Divide the percentage (60) by 100.
60 ÷ 100 = 0.6
Multiply the answer (0.6) by the number (25).
0.6 × 25 = 15
Answer:60% of 25 is 15.
Lesson SlidesThe slider below gives another example of finding the percentage of a number. Open the slider in a new tab
What Is a Percentage?A percentage expresses a part of a whole number as parts out of 100. "Per cent" means "per 100" or "out of 100". A percentage is shown by the symbol %.
Why Does the Formula Work?Finding the percentage of a number uses the formula below:
In the example on this page, 60% of 25 has been expressed as the formula below:
60% has been written as a fraction (60/100). (Percentages and fractions are both ways of expressing a part of a whole). Read more about converting percentages to fractions Then part of the number is found by multiplying the fraction (60/100) with the number (25). Read more about finding the fraction of a number
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