1. 3.1 PERCENTS
Last updated on October 03, 2014

2. Section 3.1
Percent
‘Percent’ is used to express a quantity out of 100 units and is represented by the symbol %.
If this line represents one unit of length... 1
And we divide it into a hundred parts...
100%
Then each part represents one percent.

3. 80 %= Converting a Percent to a Fraction
Section 3.1
Converting a Percent to a Fraction
Although in day-to-day business, the word ‘percent’ is commonly used, in actual calculations, fractions or decimal equivalents are used.
Example
Convert 80% to a fraction. 80 %=

4. 22.5 % Converting a Percent to a Fraction
Section 3.1
Converting a Percent to a Fraction
If the percent is a decimal number:
Example
Convert 22.5% to a fraction.
22.5 %

5. 2 % = 1 Converting a Percent to a Fraction
Section 3.1
Converting a Percent to a Fraction
If the percent is a fraction:
Example
Convert % to a fraction. 2 1 2 1
% =

6. 2.5% = Converting a Percent to a Decimal If the percent is a decimal:
Section 3.1
Converting a Percent to a Decimal
If the percent is a decimal:
Example
Convert 2.5% to a decimal.
2.5% =

7. 5 = 8 Converting a Fraction to a Percent Example 5
Section 3.1
Converting a Fraction to a Percent
Example
Convert to a percent. 5 8 5 = 8

8. Section 3.1
Answer the following:
Convert 60% to a fraction:
60% =

9. Section 3.1
Answer the following:
Convert 44.8% to a fraction:
44.8% =

10. 12 %= 1 2 Answer the following: Convert % to a fraction: 12 1 2
Section 3.1
Answer the following:
Convert % to a fraction: 2 1 12
12 %= 1 2

11. Section 3.1
Answer the following:
Convert 0.22 to a percent:
0.22 =

12. Section 3.1
Answer the following: 9 12
Convert to a percent: 9 12 =

13. Use percent to compare their scores
Janet and Santiago are studying Business Math in different colleges. Janet scored 51 out of 60 on her final exam, while Santiago scored 63 out of 75. Who scored better on the exam?
Section 3.1 51 60 63 75
Use percent to compare their scores
Who scored better?

14. Method 1: Formula Method
Section 3.1
Percent Calculations
In percent calculations, there are 3 variables that you need to look out for: Portion, Rate, and Base.
Method 1: Formula Method
Portion
100%
$500
Base
Example
$250 is
50% of $500
Rate
50%
$250
Portion
Rate
Base 0%

15. Percent Calculations Portion Rate Base
Section 3.1
Percent Calculations
In percent calculations, there are 3 variables that you need to look out for: Portion, Rate, and Base.
This is the relationship between the Portion, Rate, and Base in percent problems.
Rate
Base
Portion

16. Portion as a Percent of Base Method
Percent Calculations
Section 3.1
In percent calculations, there are 3 variables that you need to look out for: Portion, Rate, and Base.
Portion as a Percent of Base Method
Example
Percent
Amount
50% $P
100%
$500 P
50% =
500
100%
500
50% P ×
250 = =
100%

17. Section 3.1
What is 60% of $400?

18. Section 3.1
What percent of $950 is $590?

19. If 30% of a number is 150, what is the number?

20. Section 3.1
What is 120% of 125?

21. The price of Jonathan’s shares in a company grew from $20 a share to $60 a share. What percent of $20 is $60?

22. 1
Section 3.1
Jessica owns 52 % of a web development company. If the company is valued at $240,000 what is the value of Jessica’s ownership in the company? 3