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Percent is a ratio that compares a number to 100
The symbol for percent is %
Percent means “per hundred”
So, is 17% 17100
40 % Means40 parts out of 100or40hundredths
Percents Have Equivalents in Decimals and Fractions
20% .20 20 100
15
== =
PercentDecimalFractionSimplifiedFraction
Find the percent of a Whole Number?
Remember“of” means multiply
of x=
Step1
When you see a percent problem, you know when you read “of” in the problem you multiply.
15% 100ofx
Step2Change your percent to a decimaland then move the decimal point
two places to the left.
15%x 100. .
Step3Multiply just like a regular decimal
multiplication problem
100x.150005
001+0051
Step 4
100x.150005
001+0051 ..
Place the decimal point 2 places to the left in your answer.
15Answer:
Practice
25% of 300x..300x.25
00510006+
0057
Move the decimal point 2 places to the left in your answer.
300x.25
00510006+
0057 .. Answer:75
You can also find the percent of a number by writing the percent as
a fraction and multiplying
25%of 401.Change the percent to a fraction
25100
=÷÷
2525
14
x 40
x 40 11
10
1 x 101 x 1
= 10 1
14
14
10
Practice
75%of 80
1.
75100
Simplify
÷÷
=2525
34
2. Multiply
34
x 80 11
20
3 x 201 x 1
==
601
= 60
Changing percents to fractionsTo express a percent as a fraction, write a fraction with a denominator of
100•Remember – a percent is a number “out of 100.”
65% = 65100
65100
÷÷
55
= 1320
Changing fractions to percentsTo express a fraction as
a percent, write a fraction with a
denominator of 100•Remember – a percent is a number “out of 100.”
14
= 14 x
x2525
=
25100
= 25%
25100