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Mathematics

What is Percentages?

A percentage is a way of expressing a number as a fraction of 100. The word means 'per hundred,' so 25% simply means 25 out of 100, or one quarter.

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Key things to understand

  • 1'%' means 'out of 100' — 50% = 50/100 = 1/2.
  • 2To find a percentage of a number, multiply by the percentage as a decimal (20% of 80 = 0.20 × 80 = 16).
  • 3Percentages let you compare proportions on the same scale.
  • 4They're everywhere: discounts, interest, statistics, grades.

Frequently asked questions

How do you calculate a percentage of a number?
Convert the percentage to a decimal and multiply (e.g., 30% of 50 = 0.30 × 50 = 15).
How do you convert a fraction to a percentage?
Divide the top by the bottom and multiply by 100 (3/4 = 0.75 = 75%).
What does 'percent' mean?
'Per hundred' — a way to express a part out of 100.

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