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Q:

# How do I subtract percentages?

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### Quick Answer

To subtract a percentage, one starts by converting the percentage into its decimal equivalent and subtracting the result from one. Multiplying the answer by the original figure gives the value after subtracting the percentage. For instance, to subtract a tax of 27 percent from base pay, one coverts the percentage to 0.27 or (27/100). Basic pay x (1 - 0.27) gives the pay after the tax deduction.

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### Full Answer

Alternatively, an employee may first calculate the actual tax (basic pay x 27/100) and then subtract it from the basic pay. If a buyer pays \$7.61 for an item that was priced at \$6.95, the applicable percentage sales tax (x) is calculated as follows: x = (7.61- 6.95)/ 6.95; x = 9.5 percent.

Mathematically, a percentage of any value means the value multiplied by the percentage in its decimal form. For example, 35 percent of 80 means 0.35 x 80. It’s also possible to calculate a percentage rate of a value if the actual fraction is known. For example, if x represents a percent of 20 that equals 30, the percent is calculated as follows: x = 100 x 30/20. One multiplies the rate by 100 to convert from the decimal to percentage form.

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## Related Questions

• A:

To subtract fractions, make sure the bottom numbers (denominators) are the same, then subtract the top numbers (numerators) from one another, retaining the denominator and simplifying if required. This process can be done by hand or by using a calculator.

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• A:

Two-fifths is equivalent to 40 percent. Dividing the numerator, 2, by the denominator, 5, yields a decimal value of 0.40. Decimal values can be converted to percentages by multiplying by 100, which means that 0.40 is equal to 40 percent.

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• A:

Percent means “for every 100” or “out of 100.” If 80 percent of the population owns a computer, this implies that 80 out of every 100 people have one. The symbol “%” means percent. Writing a percentage therefore means representing the number out of 100. For instance, finding what percent of 20 is 40: (40/20) * 100 = 200%

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• A:

Converting the percentages to decimals then finding the average of these figures and reconverting back to a percentage is the easiest way to do this. You need the percentages you wish to average, paper, a pencil and a calculator.

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