# How do I compare fractions, decimals and percentages?

## What are percentages?

**Per** means **out of**. You might have seen **cent** as part of **centimetre**. A **centimetre** is **one hundredth** of a metre.

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

For example **10%** is **10 out of 100**.

## Percentages and fractions

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

So **10%** is the same as **¹⁰⁄₁₀₀**.

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

**10** and **100** both divide by **10**, so **¹⁰⁄₁₀₀ = ¹⁄₁₀**. That means **10% = ¹⁄₁₀**

## 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 **1.0** the **1** just means **one**.

Numbers to the **right of the dot** are **parts (or fractions) of a number**.

Numbers **one space to the right of the dot** are **tenths**.

### For example:

**0.1** is the same as **¹⁄₁₀**

**0.3** is the same as **³⁄₁₀**

Numbers **two spaces to the right of the dot** are **hundredths**.

### For example:

**0.01** is the same as **¹⁄₁₀₀**

**0.07** is the same as **⁷/₁₀₀**