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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