**Changing percentages into decimals** *KS2 Revision*

## What you need to know

**Things to remember:**

- To convert a percentage into a decimal we divide by 100.
- To divide by 100 we move all the digits right 2 places.

First, let’s break up the word “percent” into “per” and “cent”.

per – “for every” or “out of”

cent – 100 (Century = 100 years)

So, if we put these together, then “percent” means “for every 100” or “out of 100”. Writing “percent” takes waaaaaaaay too long, so we use the symbol %.

**10% – 10 percent**

**25% – 25 percent**

**47% – 47 percent**

So, something like 47% just means “47 out of every 100”. We could show this percentage by cutting a block into 100 pieces and taking 47 of them:

So really, a percentage is actually just dividing by 100!

47\% =47\div100=0.47

*Remember: **To divide by 100 we move all of the digits right one place.*

* *

So, to covert a percentage into a decimal we just divide by 100!

5\% =5\div100=0.05

23\% =23\div100=0.23

146\% =146\div100=1.46

## Example Questions

**Question 1:** Convert 65% into a decimal.

65%=65\div100=0.65

**Question 2:** Convert 250% into a decimal.

250%=250\div100=2.50=2.5