Math CentralQuandaries & Queries


Question from francisco, a student:

when changing from a percent to a decimal, how can you tell when the decimal will be greater than 1?

Hi Francisco,

A percent is one way of representing a fraction. A percent is a common fraction with a denominator of 100. Thus 15% is 15/100 or 0.15 as a decimal. To express the integer 1 as a decimal with a denominator of 100 I get 1 = 100/100. Hence 1 is 100%. Thus if the decimal representation of a percent is more than 1 the percent must be more than 100%. For example 125% = 125/100 = 1.25.

I hope this helps,

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