Converting a Fraction Into a Percent

It is possible to convert a fraction into a percent and vice versa. Consider the following fraction. 14/87 This fraction can be rewritten as a percent by following two steps.

1

Divide the Numerator by the Denominator

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First, divide the numerator by the denominator. In this case, the numerator is 14 and the denominator is 87. The procedure of long division can be used to divide up to four decimal places.

The quotient is 0.1609. This is the decimal equivalent of the fraction.

2

Multiply by 100

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Next, multiply the result by 100 to convert it to percent. Note that multiplying a decimal number by 100 comes down to moving the decimal point two places to the right.

The result is 16.09, which can be rounded to 16.1. Finally, add a percent sign after the number. 14/87≈ 16.1 % Therefore, the fraction represents about 16.1 %.

Note that the order of these two steps can be reversed. In other words, the fraction can be multiplied by 100 first, before calculating the quotient of the numerator by the denominator.

Extra

Converting Different Fractions

Input a fraction whose numerator and denominator are less than 100. Then, click Submit and Convert to see how it can be converted into a percent. In this applet, the fraction will be multiplied by 100 first.