In order to understand the information on this page, it can be helpful to already know: |

## Contents

# Outline

**Percent** means "for every 100" and is denoted by the % symbol. The symbol is derived from the diagonal line of a fraction and the two zeros of 100.

In practical terms, a percentage is a multiple of so:

64% is or .

# Worked Examples

## Equivalent values

### Convert Percent to Fraction

#### Sample question:

"Convert 23% to a fraction"

#### Solution:

Remember that percent is the number of hundredths so replace the % symbol with "" then simplify.

### Convert Percent to Decimal

#### Sample question:

"Convert 23% to a decimal"

#### Solution:

To convert to a decimal, use the decimal equivalent of

### Convert Fraction to Percent

#### Sample question:

Express as a percent

#### Solution:

First, convert the fraction to have a denominator of 100 then rearrange as a multiple of

### Convert Decimal to Percent

#### Sample question:

Express 0.458 as a percent

#### Solution:

Start by rearranging to a multiple of 0.01 then continue as you would for a fraction.

## Finding a percentage of a value

#### Sample question:

What is 23% of $400?

#### Solution:

First, convert the 23% to a fraction or decimal (methods shown earlier) then multiply the result by $400.

# Practice

You can practice skills in percent using the following references:

## Khan Academy

Make sure you are logged in to Khan Academy when doing these exercises so your practice is recorded.

- Introduction to percents
- Finding percents of numbers
- Percents from fractions (with diagrams)
- Converting between percents and fractions (without diagrams)
- Converting decimals to percents
- Converting percents to decimals
- Equivalent representations of percent problems
- Relate fractions, decimals, and percents
- Percent word problems
- Percent word problems 2
- Discount, tax, markup, and commission word problems

# Application

Percentages are often used in financial applications where a proportion calculation is required. These include:

- Discounts (percentage of original price)
- Profit margin (percentage of sale price)
- Tips (percentage of total bill)
- Loan or Deposit interest (percentage of balance)

# Next Steps

Comfortable with percents? Check out the follow-on mathematics you can now do: