Percent and Decimals

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.

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%.

Example:

Convert the following decimals to percents:

a) 0.45

b) 1.7

c) 1.023

Solution:

a) 0.45 = 45%

b) 1.7 = 170%

c) 1.023 = 102.3%

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

Example:

Change the following percents to decimals:

a) 65%

b) 135%

c) 12.5%

Solution:

a) 65% = 0.65

b) 35% = 1.35

c) 12.5% = 0.125

The following video shows more examples of percents and decimals.

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