# Converting Percentages

A percentage can be converted to a decimal or a fraction.

20% (20 percent) can be converted to 0.2 (a decimal) or 1/5 (one-fifth).

# How to Convert a Percentage to a Decimal

A fraction can be converted to a decimal.

#### An Example Question

What is 20% as a decimal?
Divide the percentage by 100.

Step 1
Divide the percentage (20) by 100.
20 ÷ 100 = 0.2
Note: Do not write the % (percent) sign after the decimal.

20% converted to a decimal is 0.2

Read more about how to convert a percentage to a decimal

# How to Convert a Percentage to a Fraction

A percentage can be converted to a fraction.

#### An Example Question

What is 20% as a fraction?
Write the percentage as the top number of the fraction, 100 as the bottom number and then simplify the fraction.

Step 1
Write the percentage (20) as the top number of a fraction (called the numerator).

Step 2
Write 100 as the bottom number of the fraction (called the denominator).

Step 3
Simplify the fraction if possible. The fraction in our example can be simplified by dividing both top and bottom by 20.

20% converted to a fraction is 1/5.

Read more about how to convert a percentage to a fraction

# A Real Example of How to Convert Percentages

The slider below gives another example of converting percentages to decimals and fractions.

##### Interactive Test
show

Here's a second test on converting percentages.
Here's a third test on converting percentages.

# Fractions, Decimals and Percentages

A fraction is a part of a whole.

Decimals and percentages also represent parts of a whole.

This is why fractions, decimals and percentages can be converted to each other.

# What Is a Percentage?

A percentage expresses a part of a whole number as parts out of 100.

"Per cent" means "per 100" or "out of 100".

A percentage is shown by the symbol %.

# What Is a Fraction?

A fraction is a part of a whole number.

Fractions consist of a numerator and a denominator.

The denominator tells you how many equal parts the whole is divided into, and the numerator tells you how many of these parts there are.