1. Finding a Percent of a Number
Determine equivalences among fractions, decimals and percents; select among these representations to solve problems.
Calculate the percent of a number and determine what percent one number is of another number to solve problems in various contexts
Solve real world and mathematical problems requiring arithmetic with decimals, fractions, and mixed numbers

2. I can… Self Assessment Find the percent of a number
Calculate discount prices
Calculate sales tax
Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

3. Method 1: Using a fraction
What is 75 % of 60?
Write and equation
Change the percent to a fraction
Simplify by cross canceling
Solve the equation 3 4 • w 60 = 15
To set up your proportion, think, “IS over OF equals PERCENT over 100.” 3 4 60 1 •
= 45 1

4. Method 1: Using a fraction
What is 10 % of 36?
Write and equation
Change the percent to a fraction
Simplify by cross canceling
Solve the equation 10
100 w • 36 = 2 9
= 18 5
To set up your proportion, think, “IS over OF equals PERCENT over 100.” 10
100 36 1 • 25 5
= 3.6

5. Your Turn What is 85 % of 160? = 136 85 100 w • 160 85 100 160 1 • = 8
Write and equation
Change the percent to a fraction
Simplify by cross canceling
Solve the equation 85
100 w •
160 = 8 16
To set up your proportion, think, “IS over OF equals PERCENT over 100.” 17 85
100
160 1
= 136 • 10 5 1

6. Method 2: Using a decimal
What is 10 % of 74? w =
0.1 • 74
Write and equation
Change the percent to a decimal
Solve the equation
= 7.4
To set up your proportion, think, “IS over OF equals PERCENT over 100.”

7. Method 2: Using a decimal
What is 20 % of 48? w =
0.20 • 48
Write and equation
Change the percent to a decimal
Solve the equation
= 9.6
To set up your proportion, think, “IS over OF equals PERCENT over 100.”

8. Your Turn… What is 8 % of 90? = 7.2 w 0.08 • 90 = Write and equation
Change the percent to a decimal
Solve the equation
= 7.2
To set up your proportion, think, “IS over OF equals PERCENT over 100.”

9. Finding a Discount $10 What is 25 % of $40? 25 40 w 100 •
The regular price of a pair of sneakers is $40. The sale price is 25% off the regular price. What is the sale price?
What is 25 % of $40?
Find the discount
Subtract the discount from the regular price 5 25
100 2
To set up your proportion, think, “IS over OF equals PERCENT over 100.” w 40 4
$10 = • 10 5 1

10. Finding a Discount What is 25 % of $40? 40 - 10 $30
The regular price of a pair of sneakers is $40. The sale price is 25% off the regular price. What is the sale price?
What is 25 % of $40?
Find the discount
Subtract the discount from the regular price
To set up your proportion, think, “IS over OF equals PERCENT over 100.” 40
$30

11. Finding a Discount $4.50 What is 30 % of $15? w 15 0.3 •
The regular price of a sweatshirt is $15. The sale price is 30% off the regular price. What is the sale price?
What is 30 % of $15?
Find the discount
Subtract the discount from the regular price
To set up your proportion, think, “IS over OF equals PERCENT over 100.” w =
0.3 • 15
$4.50

12. Finding a Discount What is 30 % of $15? 15.00 - 4.50 $10.50
The regular price of a pair of a sweatshirt is $15. The sale price is 30% off the regular price. What is the sale price?
What is 30 % of $15?
Find the discount
Subtract the discount from the regular price
To set up your proportion, think, “IS over OF equals PERCENT over 100.”
15.00
$10.50

13. Since it is $, round to the nearest cent
Your Turn…
A store is having a 35% off sale on all items. An item is regularly priced at $ What is the sale price?
What is 35 % of $49.50?
Find the discount
Subtract the discount from the regular price
To set up your proportion, think, “IS over OF equals PERCENT over 100.” w =
0.35 •
49.50
17.325
Since it is $, round to the nearest cent
$17.33

14. Your Turn… What is 30 % of $15? 49.50 - 17.33 $32.18
A store is having a 35% off sale on all items. An item is regularly priced at $ What is the sale price?
What is 30 % of $15?
Find the discount
Subtract the discount from the regular price
To set up your proportion, think, “IS over OF equals PERCENT over 100.”
49.50
$32.18

15. Your Turn… $4.73 What is 22 % of $21.50? w 21.50 0.22 •
Find the sale price of an item that is 22% off of $21.50.
What is 22 % of $21.50?
Find the discount
Subtract the discount from the regular price
To set up your proportion, think, “IS over OF equals PERCENT over 100.” w =
0.22 •
21.50
$4.73

16. Your Turn… What is 22 % of $21.50? 21.50 - 4.73 $16.77
Find the sale price of an item that is 22% off of $21.50.
What is 22 % of $21.50?
Find the discount
Subtract the discount from the regular price
To set up your proportion, think, “IS over OF equals PERCENT over 100.”
21.50
$16.77

17. Sales Tax is added to the purchase
Finding Sales Tax
Sales Tax is added to the purchase
You are buying dog food that costs $8.50. There is a 6% sales tax. What is the total amount of your purchase?
Find the sales tax
Add the sales tax to the regular price
What is 6 % of $8.50?
To set up your proportion, think, “IS over OF equals PERCENT over 100.”
0.06 •
8.50
$0.51

18. Sales Tax is added to the purchase
Finding a Sales Tax
You are buying dog food that costs $8.50. There is a 6% sales tax. What is the total amount of your purchase?
Find the sales tax
Add the sales tax to the regular price
What is 6 % of $8.50?
To set up your proportion, think, “IS over OF equals PERCENT over 100.”
8.50
$ 9.01

19. Sales Tax is added to the purchase
Finding Sales Tax
Sales Tax is added to the purchase
The price of the cat toy is $9.50. Find the total cost with a sales tax of 8%.
Find the sales tax
Add the sales tax to the regular price
What is 8 % of $9.50?
To set up your proportion, think, “IS over OF equals PERCENT over 100.”
0.08 •
9.50
$0.76

20. Sales Tax is added to the purchase
Finding a Sales Tax
The price of the cat toy is $9.50. Find the total cost with a sales tax of 8%.
Find the sales tax
Add the sales tax to the regular price
What is 8 % of $9.50?
To set up your proportion, think, “IS over OF equals PERCENT over 100.”
9.50
$10.26

21. Sales Tax is added to the purchase
Your Turn…
Sales Tax is added to the purchase
You are buying a pair of shoes that cost $ There is a 5% sales tax. What is the total amount of your purchase?
Find the sales tax
Add the sales tax to the regular price
What is 5 % of $28.80?
To set up your proportion, think, “IS over OF equals PERCENT over 100.”
0.05 •
28.80
$1.44

22. Sales Tax is added to the purchase
Your Turn…
You are buying a pair of shoes that cost $ There is a 5% sales tax. What is the total amount of your purchase?
Find the sales tax
Add the sales tax to the regular price
What is 5 % of $28.80?
To set up your proportion, think, “IS over OF equals PERCENT over 100.”
28.80
$ 30.24

23. I can… Self Assessment Find the percent of a number
Calculate discount prices
Calculate sales tax
Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

24. Percent of a Number 8.7 Notes Finding Discounts Find the discount
Write and equation
Change the percent to a fraction or decimal
Solve the equation
Finding Discounts
Find the discount
Subtract the discount from the regular price
Finding Sales Tax
Find the sales tax
Add the sales tax to the regular price