3.1 PERCENTS Last updated on October 03, 2014

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.

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 %=

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 %

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 % =

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% =

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

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

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

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

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

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

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?

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%

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

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%

Section 3.1 What is 60% of $400?

Section 3.1 What percent of $950 is $590?

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

Section 3.1 What is 120% of 125?

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

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