2. Main Idea and New Vocabulary Example 1: Find the Part
Example 2: Find the Percent
Example 3: Find the Whole
Example 4: Real-World Example
Key Concept: Types of Percent Problems
Lesson Menu

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

4. p = 0.46  200 Write the percent equation. 46% = 0.46 p = 92 Multiply.
Find the Part
What number is 46% of 200?
Estimate 46% of 200  0.5  200 or 100
part = percent  whole
p =  Write the percent equation. 46% = 0.46
p = Multiply.
Answer: So, 92 is 46% of 200.
Example 1

5. What number is 32% of 400?
A. 432
B. 368
C. 128
D. 12.8
Example 1 CYP

6. 26 = n  32 Write the percent equation.
Find the Percent
26 is what percent of 32?
Estimate
part = percent  whole
26 = n  Write the percent equation.
Divide each side by 32.
= n Simplify.
Since n represents the decimal form, the percent is 81.25%.
Example 2

7. Check for Reasonableness 81.25%  80% 
Find the Percent
Answer: So, 26 is 81.25% of 32.
Check for Reasonableness %  80% 
Example 2

8. 13 is what percent of 55?
A. 42%
B. 25%
C. 23.6%
D. 4.2%
Example 2 CYP

9. 12 = 0.40  w Write the percent equation.
Find the Whole
12 is 40% of what number?
Estimate
part = percent  whole
12 =  w Write the percent equation.
Divide each side by 0.40.
30 = w Simplify.
Example 3

10. Check for Reasonableness 30 = 30 
Find the Whole
Answer: So, 12 is 40% of 30.
Check for Reasonableness 30 = 30 
Example 3

11. 13 is 50% of what number?
A. 63
B. 37
C. 26
D. 6.5
Example 3 CYP

12. MOVIES A survey found that 36% of people preferred comedies over action movies. If 450 people prefer comedies, how many people were surveyed?
Example 4

13. 450 = 0.36 ● n Write the percent equation. 36% = 0.36
Divide each side by Use a calculator.
1,250 = n
Answer: About 1,250 people were surveyed.
Example 4

14. DINING A survey of found that 42% of a company’s employees went out for lunch at least once a week. If 84 employees indicated they go out for lunch at least once a week, how many people were surveyed?
A. 200 people
B. 126 people
C. 42 people
D. 2 people
Example 4 CYP

15. Key Concept 5