Module #12 of 15 Percent of a Number Grade 7 Math

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Module #12 of 15
Percent of a Number
Grade 7 Math
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Math Dragon Presents
“Percent of a Number”

Percent
A percent is a ratio of a number to 100.
The symbol % is used to indicate that a
number is a percent.

Percent of a Number
You can use the percent proportion to find the percent of a number.
part
whole
%
100
Here’s a hint!
When solving a problem with a
percent greater than 100%, the
part will be greater than the whole.

Percent of a Number
Let’s look at how to find the percent of a number.
Find 67% of 90
Step 1: Write the percent proportion.
part
whole
%
100
Step 2: Substitute what you know
into the percent proportion.
x
90
67
100
Step 3: Cross multiply
Step 4: Divide
6030 = 100x
6030 100x
100 100
60.3 = x

Time to Practice!!!

Percent of a Number
What number is 15% of 30?
Find 145% of 210
Remember to us the
percent proportion.
304.5
4.5

12
420
Percent of a Number
Of the 875 students at Sycamore Valley
Middle School, 48% are boys. How many
of the students are boys?
A children’s multivitamin has 80% of
the recommended daily allowance of
zinc. The recommended daily
allowance is 15 mg. How many
milligrams of zinc does the vitamin
provide?
Remember to use the
percent proportion!

Lets See How much you
have learned!!!

Percent of a Number
What number is 25% of 160?
10% of 84 is what number?
Remember to us the
percent proportion.

Percent Proportions
Determine which proportion could be used to solve each problem
and match it to the appropriate problem. Then solve the problem.
1.) In a class of 40 students, 75% returned their permission slips for
the field trip.
a.) How many students returned their permission slips?
b.) How many students did NOT return their permission slips?
2.) There are 60 students in the school choir. The choir has 10
students who are 6 th graders, 30 students who are 7 th graders, and
20 students who are 8 th graders.
a.) What percent of the choir members are 8 th graders?
b.) What percent of the choir members are NOT 8 th graders?
40
60
x
40
20
60
x
40
x
100
75
100
x
100
25
100

How will TAKS ask this problem?
Of the 850 students at Brown Middle School,
38% are in the school band. How many
students are in the school band?
F 32
G 527
H 323
J 812
Remember to use the
percent proportion!

Another TAKS type problem?
Bradley answered 80% of the questions on his
science test correctly. There were 30 questions
on the test, and all the questions had equal
value. How many questions did Bradley NOT
answer correctly on his test?
F 6
G 18
H 24
J 20
Remember to use the
percent proportion!

Congratulations!!!
Job Well Done, and we will see you again soon in
“Math dragon’s
Math adventure!!”