2. Percents and Their Applications
Chapter 6
Percents and Their Applications
McGraw-Hill/Irwin
Copyright © 2003 by The McGraw-Hill Companies, Inc. All rights reserved.

3. Percent and Their Applications#6
Percent and Their Applications
Learning Unit Objectives
LU6.1
Conversions
Convert decimals to percents, percents to decimals, fractions to percents and rounding percents to the identified digit
Convert percents to fractions

4. Percent and Their Applications#6
Percent and Their Applications
Learning Unit Objectives
LU6.2
Application of Percents -- Portion Formula
List and define the key elements of the portion formula
Solve for one unknown of the portion formula when the other two key elements are given
Calculate the rate of percent decreases and increases

5. Table 6.1 - Bag of M&M’s Decimal Percent
Color Fraction (hundredth) (hundredth)
Yellow % 55
Red %
Blue %
Orange %
Brown %
Green %
Total %
55 = 1

6. Converting Decimals to Percents & Percents to Decimals
Move decimal point 2 places to the right, add zeros if necessary
.75
75% 5
500%
.35
2.5
35%
250%

7. Rounding Percents = 5 13 %
38.46%

8. Converting Percents to Decimals
Drop the percent symbol and move the decimal point 2 places to the left. .8
.00.8
.8%
.008

9. Converting Fraction Percents to Decimals
.50% =
1 % 2
.00.50
.0050

10. Converting Fractions to Percents
.10 = 1 10
.10.
10%

11. Converting a Whole Percent to a Fraction
76 x 1
100
76% 76
100
Reduce to lowest terms 19 25

12. Converting a Mixed or Decimal Percent to a Fraction1 2 32
65 x = 65
32.5%
Reduce to lowest terms 13
100

13. Application of Percents - Portion Formula
Portion (P) = Base (B) x Rate (R)
Portion “is”
Base “of”
Rate “%”

14. Solving for Portion
Sales of McDonalds drive-thru customers are 60% of total sales. Total sales are $1,600,000. What are the drive-thru sales?
Portion = Base x Rate
P = $1,600,000 x .60
P = $960,000

15. Solving for Rate
Sales of McDonalds drive-thru customers are $960,000. Total sales are $1,600,000. What Percent of customers eat in the restaurant?
Rate = Portion
Base
R = $640, 000
$1,600,000
R = 40%
$1,600,000
- 960,000

16. Solving for Base
Sales of McDonalds drive-thru customers are 60% of total sales. Sales of eat-in customers are $640,000. What are total sales?
Base = Portion
Rate
B = $640,000
.40
B = $1,600,000
eat in sales
Percent of customers that eat-in

17. Rate of Percent Decrease
15 oz.
Rate = Portion
Base
Rate = 12 15
Amount of Decrease (P)
Original Weight (B)
.80 or 80%
Decrease
3 oz.
Original
New
Percent of Decrease (R)

18. Rate of Percent Increase
$1,000
Rate = Portion
Base
Rate = $1,500
Original sales (B)
1.5 or 150%
Increase
$2,500
Original
New
Amount of Increase (P)
Percent of Increase (R)