Three Types of Percent Problems Day 2
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Three Types of Percent Problems
Day 2
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Remember, percents are "parts of a whole".The part is the numerator and the whole is the denominator.
17% means 17 parts per 100 or
We are going to solve problems involving percents.There are 3 types of problems:
1. Find the part What number is 54% of 34?
2. Find the whole 4 is 60% of what number?
3. Find the percent 18 is what percent of 28?
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Two words that will occur in these types of problems are "is" and "of".
These words have specific meanings in math.
"Is" means equals (=)"Of" means multiply
To solve a percent problem, translate the words into an equation.
Change the following:1. Percent into a decimal2. "is" to "="3. "of" to " "4. Unknown to "x"
Then, solve the equation.
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Finding the Part...
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60 = 24.40
Examples:Find
40% of 60
20% of 90
.20 90 = 18
Write a mathematical sentence
Write a mathematical sentence
Click
Click
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X = .10 88
What is 10% of 88?
Write a mathematical sentence
X = 8.8
Try these:
Find 12% of 70 What is 40% of 28?
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Another Method:
You can also solve percent problems by setting up a proportion.
Since percents are parts of a whole, you can create the following proportion:
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When figuring out which is the "part" and which is the "whole", remember that you take a percent of the whole and the answer is the part. In other words, the whole is with the word "of" and the part is with the word "is".
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Proportion Method
Steps1. Set up the proportion as shown.
2. Substitute given values into the proportion.
3. Solve the proportion.
is
of
%
100=
Note: You can use this box to solve many problems involving percents!
Note: Try to find the numbers that are attached to the words/symbols: is, of, or percent.
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Example: What is 25% of 400?
Steps1. Set up the proportion.
2. Substitute.
3. Solve.
is
of
%
100=
What is 25% of 400?
25
100400
?
Click on each box to see if you substituted correctly.
400 x 25 = 100w10,000 = 100w10,000/100 = w100 = w Click
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Example: What is 32% of 300?
Steps1. Set up the proportion.
2. Substitute.
3. Solve.
is
of
%
100=
32
100300
?
Click on each box to see if you substituted correctly.
300 x 32 = 100w9,600 = 100w9600/100 = w96 = w
What is 32% of 300?
Click
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Try it: What is 20% of 180?
Steps1. Set up the proportion.
2. Substitute.
3. Solve.
is
of
%
100=
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12 Find 30% of 45
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13 What is 15% of 90?
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14 Find the greater value.
A 20% of 16
B 10% of 90
C 25% of 40
D 100% of 7
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15 Find the greater value.
A 2% of 1000
B 5% of 500
C 10% of 300
D 15% of 100
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16 Identify any values that are equal.
A What is 40% of 80?
B 60% of 70
C 25% of 128
D 200% of 16
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Finding the Whole...
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Remember, you can solve this by:1. Translating into an equation2. Setting up a proportion
40% of what number is 50?
.40 X = 50
X = 50 .40
X = 125
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Try This:
100 is 20% of what number?
100 = .20 x
100 = x .20
x = 500
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17 56 is 70% of what?
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18 12% of what number is 6?
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19 65% of what number is 10?
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20 27 is 150% of what number?
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21 1% of what number is 12?
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Finding the Percent...
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What percent of 80 is 24?
x 80 = 24
X = 24 80
X = .30
X = 30%
Remember, you can solve this by:1. Translating into an equation2. Setting up a proportion
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60 is what percent of 15?
60 = X 15
60 = X15
4 = X
400% = X
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22 What percent of 3 is 12?
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23 30 is what percent of 36?
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24 What percent of 18 is 180?
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25 2 is what percent of 1?
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26 What percent of 25 is 20?
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You have just studied three different types of percent problems.Try all 3 types:
24 is 40% of what number?
42 is what percent of 840?
What is 30% of 45?
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27 Find the largest value.
A What is 50% of 50?
B What number is 45% of 60?
C 30 is 60% of what number?
D 25% of what number is 150?
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28 Find the greatest percentage value.
A What percent of 30 is 18?
B 60 is what percent of 90?
C What percent of 70 is 210?
D 1,000 is what percent of 100?
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29 Find 20% of 78.
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30 8 is what percent of 28?
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31 What number is 3% of 17?
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32 Find 27% of 54.
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33 23 is what percent of 200?
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34 What percent is 35 of 20?
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35 56% of what number is 40?
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36 45 is 30% of what number?
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37 62% of 40 is what number?
A 24.8
B .0155
C 24.8%
D 15.5