## Introduction

- The percent or percentage is a number, ratio, or fraction with 100 as a denominator.
- The percent means hundredths or per 100.
- A % sign denotes the percent.
- 5% means 5 out of 100.
- If you got 80% in math, you got 80 out of 100 questions correct.

## Changing decimals to percents

- To change the decimal number to the percent, multiply the number by 100 or move the decimal point two places to the right and add a % sign.

## Changing percents to decimals

- Remove the "%" sign and divide the number by 100 or move the decimal point to two places to the left.
- If there is no decimal, assume the decimal at the end of the number.
- There might be a need to add a zero(s) to the front of the number for the decimal to be moved to the left.

## Changing fractions to percents

- To convert a fraction to a percent, first convert the fraction to a decimal, then convert the decimal to a percent.

## Changing percents to fractions

- To change percents to fractions, trade the % sign for hundredths and simplify the fraction, if possible.

## Percent of a number

The following two methods can be used to determine the percent of a number:

**1. Decimal Method**

25% of 40

Remove the % sign and move the decimal two places to the left.

= 0.25 X 40

= 10

**2. Fraction Method**

Remove the % sign and divide the number by 100.

$=\frac{25}{100}\times 40$

= 10

## Examples

**1) Change 0.65 to percent.**

Move the decimal to two places to the right and add the % sign.

65%

**2) Change 7.5 to percent.**

Move the decimal to two places to the right and add the % sign.

750%

**3) Change 13.11 to percent.**

Move the decimal to two places to the right and add the % sign.

1311%

**4) Change 34% to a decimal number.**

Since there is no decimal point, assume the decimal point at the end and move the decimal point two places to the left.

$\frac{34}{100}=0.34$

**5) Change 125% to a decimal number.**

$\frac{125}{100}=1.25$

**6) Change 6% to a decimal number.**

Since there is no decimal point, assume the decimal point at the end and move the decimal point two places to the left.

$\frac{6}{100}=0.06$

**7) Convert $\frac{3}{4}$ to percent.**

$\frac{3}{4}=0.75$

Change the decimal to percent by moving the decimal point two places to the right.

0.75 = 75%

**8) Convert $1\frac{1}{4}$ to percent.**

$1\frac{1}{4}=\frac{5}{4}=1.25$

Change the decimal to percent by moving the decimal point two places to the right.

1.25 = 125%

**9) Convert 80% to the fraction.**

$80\%=\frac{80}{100}=\frac{8}{10}=\frac{4}{5}$

**10) Convert 75% to the fraction.**

$75\%=\frac{75}{100}=\frac{3}{4}$

**11) What is 15% of 40?**

a) Decimal method

Remove the % sign and move the decimal to two places left.

15% $\times $ 40

=0.15 $\times $ 40

= 6

b) Fraction method

Remove the % sign and divide the number by 100.

15% of 40

=$\frac{15}{100}\times 40$

= $\frac{600}{100}$

= 6

**12. What is 250% of 50?**

a) Decimal Method

250% of 50

Remove the % sign and move the decimal to two places left.

= $2.5\times 50$

= 125

b) Fraction Method

250% of 50

Remove the % sign and divide the number by 100.

= $\frac{250}{100}\times 50$

= 125

- Rishi Jethwa
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