Percentages made simple
Last reviewed: 14 July 2026
← All articles·Study guide·6 min read
Percentages are everywhere: sale signs, test scores, phone batteries. The word looks technical but the idea is simple. This guide builds it up from "out of 100" so it makes sense before any method appears.
Percent means out of 100
The word percent comes from "per hundred". So 40 percent means 40 out of every 100. If a test is marked out of 100 and your child scores 40, that is 40 percent. The percent sign is just shorthand for "out of 100".
The ones worth knowing by heart
A handful of percentages are so common that it pays to simply know them. Everything else can be built from these.
| Percentage | Is the same as | In plain words |
|---|---|---|
| 50% | one half | split it in two |
| 25% | one quarter | half, and half again |
| 10% | one tenth | divide by 10 |
| 1% | one hundredth | divide by 100 |
| 100% | the whole thing | all of it |
Step 1: finding 10 percent
Ten percent is the workhorse. To find 10 percent of a number, divide it by 10. This is the building block for lots of other percentages.
- 10% of 200 is 20
- 10% of 60 is 6
- 10% of 45 is 4.5
Step 2: build other percentages from 10 percent
Once you have 10 percent, you can reach most others by doubling, halving or adding.
- 20% is double 10%. So 20% of 200 is 20 doubled, which is 40.
- 5% is half of 10%. So 5% of 200 is half of 20, which is 10.
- 30% is three lots of 10%. So 30% of 200 is 3 times 20, which is 60.
Step 3: any percentage, the reliable way
For any percentage, there is one method that always works: find 1 percent first, then multiply. Find 1 percent by dividing by 100.
- To find 37% of 200: 1% of 200 is 2, then 37 times 2 is 74.
- To find 8% of 50: 1% of 50 is 0.5, then 8 times 0.5 is 4.
Fractions, decimals and percentages are one family
These three are just different outfits for the same amount. It helps to see them side by side.
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 1/10 | 0.1 | 10% |
| 3/4 | 0.75 | 75% |
Practise together
Work these out, then check the answers below.
- What is 50% of 80?
- What is 10% of 90?
- What is 25% of 40?
- What is 20% of 150?
- What is 15% of 60?
- What percentage is a full battery?
Four golden rules
- Percent means out of 100.
- To find 10 percent, divide by 10. To find 1 percent, divide by 100.
- Build other percentages by doubling, halving and adding.
- Fractions, decimals and percentages are three ways of writing the same amount.
Frequently asked questions
When do children learn percentages?
Percentages are introduced towards the end of Key Stage 2 and developed through Key Stage 3 and GCSE, often alongside fractions and decimals. Everyday examples at home help the idea stick.
What is the easiest way to work out a percentage?
Start from 10 percent, which is just dividing by 10, then build up by doubling, halving and adding. For an exact answer to any percentage, find 1 percent by dividing by 100, then multiply.
Why do fractions, decimals and percentages keep appearing together?
Because they are three ways of writing the same thing. A half, 0.5 and 50 percent are identical. Seeing them side by side helps children switch between them with confidence.
Keep reading
What do you want to hear more about?
You know your child best, and we write for real families. Tell us what would help most: a topic, a worry, an age group or an exam, and we'll cover it.
Want a plan, not just tips?
Get our free year-by-year planner and affordable, expert-made packs to support your child at home for a fraction of the cost of tutoring.