The Percent Proportion
The Percent Proportion
parts %
=
total 100
To solve a proportion, multiply the numbers that are
diagonal, divide by the one that’s left.
Clues for # placement
#% goes over the 100
Of # goes on the bottom across from
100
# is goes on the top diagonal from the
100
# is #%
=
of # 100
Example 1
Find 25% of 66
Remember:
# is #%
=
of # 100
Example 1
Find 25% of 66
p
25
=
66 100
25 • 66 ÷ 100 = 16.5
Example 2
16 is what percent of 48?
Remember:
# is #%
=
of # 100
Example 2
16 is what percent of 48?
16
r
=
48 100
16 • 100 ÷ 48 = 33.3%
Example 3
5 is 26% of what number?
# is #%
=
of # 100
Remember:
Example 3
5 is 26% of what number?
5 26
=
t 100
5 • 100 ÷ 26 = 19.23
Example 4
60 is 15% of what number?
Remember:
# is #%
=
of # 100
Example 4
60 is 15% of what number?
60 15
=
t 100
60 • 100 ÷ 15 = 400
Example 5
Find 13% of 80.
Remember:
# is #%
=
of # 100
Example 5
Find 13% of 80.
p
13
=
80 100
13 • 80 ÷ 100 = 10.4
Example 6
9 is what percent of 15?
Remember:
# is #%
=
of # 100
Example 6
9 is what percent of 15?
9
r
=
15 100
9 • 100 ÷ 15 = 60%
Example 7
There are 14 girls in Mr. Adams’ 3rd
hour PE class. If there are 22 students
in the class, what percent are girls?
Example 7
There are 14 girls
in Mr. Adams’ 3rd
hour PE class. If
there are 22
students in the
class, what
percent are girls?
14
n
=
22 100
22n = 1400
1400
n=
22
n = 63.3%
Example 8
In a recent election, 208 of the 325
seventh graders voted in their class
election. What percent of the 7th
graders voted?
Example 8
In a recent election,
208 of the 325
seventh graders
voted in their class
election. What
percent of the 7th
graders voted?
208
n
=
325 100
64%
Example 9
Ms. Sierra earns a 2% commission on
every vacation package that she sells.
One day, she sold vacation packages
with $6,500. What was her
commission?