1. Fractions, Percents & Decimals3 4
30%
.30

2. Percent is a ratio that compares a number to 100
The symbol for percent is %
Percent means “per hundred” 17
100
So,
is 17%

3. 40 % Means
40 parts out of 100 or 40
hundredths

4. Percents Have Equivalents in Decimals
and Fractions
20%
.20 20
100 1 5 = = =
Percent
Decimal
Fraction
Simplified
Fraction

5. x = of Find the percent of a Whole Number? Remember
“of” means multiply of x =

6. 15% 100 of x Step 1 When you see a percent problem,
you know when you read “of”
in the problem you multiply.
15% x
100 of

7. Change your percent to a decimal and then move the decimal point
Step 2
Change your percent to a decimal
and then move the decimal point
two places to the left. .
15% x .
100

8. Multiply just like a regular decimal multiplication problem
Step 3
Multiply just like a regular decimal
multiplication problem
100 15 x . 5 1 + 1 5

9. Place the decimal point 2 places to
Step 4
Place the decimal point 2 places to
the left in your answer.
100 x . 15 5 1 + 15
Answer: . .

10. Practice x .
25% of 300 .
300 x
.25 1 5 + 6 7 5

11. 2 places to the left in your answer.
Move the decimal point
2 places to the left in your answer.
300 x
.25 5 1 6 + 7
Answer: 75 . .

12. You can also find the percent of a number by writing the percent as a fraction and multiplying
25% 40 of 1.
Change the percent to a fraction 25
100 25 1 ÷ = 4 ÷

13. 1 4 x 40 1 4 40 1 10 x 1
1 x 10 10 1 =
1 x 1 10

14. 75% 80 of Practice 1. Simplify 2. Multiply 20 80 1 3 4 x 75 100 25 3 ÷= 1 4 ÷
3 x 20
1 x 1 = 60 = 60 = 1

15. 65 100 Changing percents to fractions 65% = 65 100 5 13 20 ÷ = ÷
To express a percent as a fraction, write a fraction with a denominator of 100
Remember – a percent is a number “out of 100.” 65
100
65% = 65
100 5 13 20 ÷ = ÷

16. Changing fractions to percents
To express a fraction as a percent, write a fraction with a denominator of 100
Remember – a percent is a number “out of 100.” 1 4 1 4 x 25 25 = = x 25
100 25
100
25% =