Q:

How do you add percentages?

A:

Quick Answer

To add a percentage to a given number involves multiplying the base number by a decimal that represents the percentage fraction. Adding two percentages together involves the opposite, or converting the percentages to fractions.

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Full Answer

To calculate the addition or subtraction of percentages, it is first necessary to understand the relationship between a percentage and its decimal representation.

To Add a Percentage to a Given Number

Multiply the base number by 1 plus the percentage as a decimal. For example, to add 25 percent to the number 4: 4 x (1 + 0.25) = 4 x 1.25 = 5.

To Add Two Percentages Together

Convert the percentages to fractions with a common denominator and perform the simple addition operation. Then the answer may be converted back to a percentage. For example, to add 20 percent to 30 percent: 20 / 100 + 30 / 100 = 50 / 100 or 50 percent.

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