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# How do you add percentages?

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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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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.

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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## Related Questions

• A:

A percentage is subtracted from a number by calculating the percentage in relation to that number and then performing a basic subtraction function. For example, to calculate 200 minus 70 percent, a person must first know that 70 percent of 200 is 140. Then, 140 is subtracted from 200 to get the answer, which is 60.

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To determine the percentage of a number, divide the fraction of the amount by the whole amount, and multiply the result by 100. As AAA Math explains, to calculate what percentage 68 is of 87, divide 68 by 87; This equals approximately 0.7816. Multiply this answer by 100. The final answer is 78.16 percent.

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The percentage of a number is found by multiplying the percent value by the base to get the percent amount, according to the Monterey Institute of Technology and Education. The base is the whole number and the percentage is some portion of it.