Percent and Decimals

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The following figure shows how to convert between percents and decimals. Scroll down the page for more examples and solutions.

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%.

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%

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

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
How to change decimal to percent?
Move the decimal point two units to the right and add the % sign

• Show Step-by-step Solutions

How to change percent to Decimal?
Move the decimal point two units to the left and remove the % sign

• Show Step-by-step Solutions

Convert between Decimals and Percents Song
Here's how you represent a decimal as a percent.
Move the decimal point two places right; then
write a percent sign.
A decimal is a fraction whose denominator
is a power of ten.
A percent is a portion out of one hundred.
And the workload is minimal to convert a percent
to a decimal.
The decimal point moves left two places; then
the percent sign erases.
A decimal is a fraction whose denominator
is a power of ten.
A percent is a portion out of one hundred.
A decimal is a fraction whose denominator
is a power of ten.
A percent is a portion out of one hundred.

• Show Step-by-step Solutions

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