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Percent and Decimals

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What is a Percent?
A percent can be expressed using the percent symbol %, for example: 

10 percent or 10% are both the same.

A percent is equivalent to a fraction with denominator 100, for example: 

40% of car sales = of car sales = of car sales

Percent and hundredths are basically equivalent. This makes conversion between percent and decimals very easy.

How to change Decimal to Percent?
To change a decimal to a percent, move the decimal point two places to the right and add the percentage symbol %.

For example:

0.15 = 15 hundredths = = 15%.


Convert the following decimals to percents:

a) 0.45

b) 1.7

c) 1.023


a) 0.45 = 45%

b) 1.7 = 170%

c) 1.023 = 102.3%

How to change Percent to Decimal?
Converting from a percent to a decimal is similar, move the decimal point two places to the left and drop the symbol %.

5% = = 0.05


Change the following percents to decimals:

a) 65%

b) 135%

c) 12.5%


a) 65% = 0.65

b) 35% = 1.35

c) 12.5% = 0.125

Decimal to percent
Percent to Decimal


You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.

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