# How to compare fractions, decimals and percentages

## What are percentages?

Per means "out of", cent means "100".

You might have seen "cent" as part of "centimetre". A centrimetre is one hundredth of a metre.

Percent means "**out of 100**" and percentages are shown with the symbol **%**

So when you see something written as % that means it is a number out of 100.

For example **30% is 30 out of 100**.

## Percentages and fractions.

Percentages are a bit like fractions with the number of percent on top and 100 underneath.

So **30%** is the same as **30/100**.

You can sometimes make fractions easier to work with by dividing top and bottom by the same amount.

**30** and **100** both divide by 10, so **30/100 = 3/10**

## What about decimals?

Decimals (or decimal fractions) are written using numbers and a dot. Numbers to the left of the dot are whole numbers.

In **3.0** the **3** just means **3**.

Numbers to the right of the dot are parts of a number.

The number one space after the dot is that many tenths of one, so these are like tenths

### For example

**0.2** is the same as **2/10**

**0.5** is the same as **5/10**

The number two spaces after the dot is that many hundredths of one.

### For example

**0.04** is the same as **4/100**

**0.07** is the same as **7/100**