2. Main Idea and New Vocabulary
Example 1: Use the Percent Proportion and Equation
Example 2: Use the Percent Proportion and Equation
Example 3: Use the Percent Proportion and Equation
Example 4: Real-World Example
Concept Summary: The Percent Proportion and Equation
Example 5: Percents Greater than 100
Lesson Menu

3. Solve problems using the percent proportion and equation.
percent equation
Main Idea/Vocabulary

4. Use the Percent Proportion and Equation
34 is what percent of 136?
Method 1 Use the percent proportion.
percent
Write the percent proportion.
34 ● 100 = 136 ● n Find the cross products.
3,400 = 136n Multiply.
Divide each side by 136.
Example 1

5. Use the Percent Proportion and Equation
25 = n Simplify.
Method 2 Use the percent equation.
part = percent ● whole
34 = n ● 136 Write the percent equation.
Divide each side by 136.
0.25 = n Simplify.
Answer: So, 34 is 25% of 136.
Example 1

6. 52 is what percent of 80? A. 65% B. 41.6% C. 31.25% D. 1.54%
Example 1 CYP

7. Use the Percent Proportion and Equation
What number is 70% of 600?
Method 1 Use the percent proportion.
percent
Write the percent proportion.
p ● 100 = 600 ● 70 Find the cross products.
100p = 42,000 Multiply.
Divide each side by 100.
Example 2

8. Use the Percent Proportion and Equation
p = 420 Simplify.
Method 2 Use the percent equation.
part = percent ● whole
p = ● 600 Write the percent equation.
p = Multiply.
Answer: So, 420 is 70% of 600.
Example 2

9. What number is 40% of 350?
A. 140
B. 87.5
C. 14
D. 8.75
Example 2 CYP

10. Use the Percent Proportion and Equation
18.2 is 28% of what number?
Method 1 Use the percent proportion.
percent
Write the percent proportion.
18.2 ● 100 = 28 ● w Find the cross products.
1,820 = 28w Multiply.
Divide each side by 28.
Example 3

11. Use the Percent Proportion and Equation
65 = w Simplify.
Method 2 Use the percent equation.
part = percent ● whole
18.2 = ● w Write the percent equation.
Divide each side by 0.28
65 = w
Answer: So, 18.2 is 28% of 65.
Example 3

12. 32.4 is 36% of what number?
A. 40
B. 45
C. 90
D. 180
Example 3 CYP

13. Answer: On day 4, she will put at least $1.50 in her bank.
MONEY On day one, Miranda finds a dollar and puts it in her piggy bank. She plans to increase the amount of money she puts in her bank by 15% each day until she puts in at least $1.50 per day. On what day will she put at least $1.50 in her bank?
Day 1 $1.00
Day  0.15 = or $1.15
Day  0.15  or $1.32
Day  0.15  or $1.52
Answer: On day 4, she will put at least $1.50 in her bank.
Example 4

14. READING On day one, Jack reads 5 pages of a book
READING On day one, Jack reads 5 pages of a book. He plans to increase the number of pages that he reads by 20% each day until he reads at least 12 pages per day. On what day will he read at least 12 pages per day?
A. day 3
B. day 4
C. day 5
D. day 6
Example 4 CYP

15. Key Concept 5

16. Write the percent proportion.
Percents Greater than 100
18 is what percent of 12?
percent
Write the percent proportion.
18 ● 100 = 12 ● n Find the cross products.
1,800 = 12n Multiply.
Divide each side by 12.
150 = n Simplify.
Example 5

17. Percents Greater than 100
Answer: 18 is 150% of 12.
Example 5

18. 75 is what percent of 60? A. 12.5% B. 80% C. 125% D. 150%
Example 5 CYP