1. Solving Percents with Proportions
Cent: 100 cents in a dollar
Centipede: About 100legs on a bug
Century: 100years
Centimeter: 100centimeters in a meter
Percent: per 100or each 100
Write the following percents as fractions (do not
simplify):
43% =43/100y 3.8% =3.8/100
112%=112/100
87% =87/100 5% = 5/100 300% = 300/100
Steps to solve percent problems:
1. Fill in the :
100
%
""
""
=
of
is
.
2. the proportion.
1. What is 45% of 80? 2. 8 is 12% of what number?
______ ______
= x=45.80
______ ______
= x=66
3. 24% of 32 is what number? 4. 110% of what number is 66?
______ ______
= x=
______ ______
= x=166
100
%
___""
___""
100
%
== or
whole
45
100
x
80
12
100
8
X
24
100
X
32
66
100
110
X

2. 5. 18 is 60% of what number? 6. 40% of what number is 26?
______ ______
= x=30
______ ______
= x=
7. What is 125% of 34? 8. 58% of 250 is what number?
______ ______
= x=
______ ______
= x=
Sometimes you will not know the percent.
Remember, the word “what” in a problem tells you it is
the variable.
9. What percent of 27 is 9? 10. 50 is what percent of 120?
______ ______
= x=33
______ ______
= x=41
11. 74 is what percent of 70? 12. What percent of 8 is 16?
______ ______
= x=105
______ ______
= x=200
13. What is 25% of 30? 14. 25% of what number is 17?
______ ______
= x=75
______ ______
= x=68
15. 12 is 75% of what number? 16. 6 is what percent of 8?
______ ______
= x=16
______ ______
= x=75
To solve your problem first you have to put tour numbers in the right box then you multiply by the
number across from it then you multiply your answer wit the number that’s left with x.
X
27
9
100
50
120
x
100
18
X
60
100
40
100
26
X
125
100
X
34
58
100
X
250
74
70
x
100
x
100
16
8
25
100
y
30
17
x
25
700
12
x
75
100
6
x
8
100