1. Find Percent Given a Part and a Whole Using the Percent Proportion

2. Percent questions----
15 is what percent of 25? 9 is 45% of what number? 65% of 15 is what?

3. All of these questions can be answered using the percent proportion
𝑃𝑎𝑟𝑡 (𝑖𝑠) 𝑊ℎ𝑜𝑙𝑒 (𝑜𝑓) = 𝑃𝑒𝑟𝑐𝑒𝑛𝑡 100

4. When solving percent problems look for 3 parts:
The Part (*usually says IS before the number)
The Whole(*usually says OF before the number)
The Percent (*has a % sign behind the number)

5. = Part (is) percent Whole(of) 100
If we set things up in a proportion, then you can find any of the 3 parts
Part (is)
Whole(of)
percent
100 =

6. = 100 Part (is) Whole (of) percent 100 Examples
Hint: Do you know the part, whole or percent?
What is 5% of 180?
part (is)
whole (of)
100
Part (is)
Whole (of)
percent
100 =

7. = 100 part whole percent 100 Examples
Hint: Do you know the part, whole or percent?
$4 is what percent of $50?
part (is)
whole (of)
100
part
whole
percent
100 =

8. = 100 part whole percent 100 Examples
Hint: Do you know the part, whole or percent?
54 is 45% of what number?
part (is)
whole (of)
100
part
whole
percent
100 =

9. = 100 part whole percent 100 Examples
Hint: Do you know the part, whole or percent?
What percent of 200 is 5?
part (is)
whole (of)
100
part
whole
percent
100 =

10. = 100 part whole percent 100 What percent of 50 shirts is 35 shirts
part (is)
whole (of)
100
part
whole
percent
100 =

11. = 100 part whole percent 100 4% of how many days is 56 days part (is)
whole (of)
100
part
whole
percent
100 =

12. Joe has 80 books and has read 32% of them. How many books has he read?
𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

13. George paid tax of $2. 25 when he bought groceries
George paid tax of $2.25 when he bought groceries. If the tax rate was 5%, how much did his groceries cost?
𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

14. Bill is in a class of 17 boys and 35 girls (52 students in the class)
Bill is in a class of 17 boys and 35 girls (52 students in the class). 40% of the students in the class take the bus to school. How many students take the bus to school?
𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

15. Miss Holman gave a $5.00 tip to a waitress for serving a meal costing $ What percent of the bill was her tip? (round to the nearest percent)
𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

16. A survey of 1,000 people was done by New York Times
A survey of 1,000 people was done by New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,250 people knew the name of the Congressman?
𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

17. The sales tax in the town where Amanda lives is 7%
The sales tax in the town where Amanda lives is 7%. Amanda paid $35 in sales tax on a new stereo. What was the price of the stereo?
𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

18. On an 75 question test, LeeBeth missed 15 questions
On an 75 question test, LeeBeth missed 15 questions. What percent did she miss? What percent did she get right?
= 𝑥 100
𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100
75x = 1500
X = 20% missed
80% right