# Percentages · Grade 6

> Percentages, Grade 6: What a percentage is, A percentage of an amount and more. Explanation, worked examples and free practice following the Israeli curriculum.

In Percentages (Grade 6) you practise 4 skills: What a percentage is · A percentage of an amount · What percentage is it? · Discounts and price rises.

A percent is another name for a hundredth: one percent is 1/100 of the whole, and the whole is 100%. Start with the easy percentages: 50% is a half, 25% is a quarter, 10% is a tenth, 20% is a fifth, and 1% is a hundredth.

To find a percentage of an amount, write the percentage as a fraction and divide: 20% of 80 is a fifth of 80, which is 16. You can also go through 10%: a tenth of 80 is 8, so 40% of 80 is 4 lots of 8, which is 32.

To find what percentage a part is of a whole, write a fraction and expand or simplify it to a denominator of 100: 50 out of 200 is 50/200 = 25/100 = 25%.

With a discount, take the amount of the discount away from the price; with a price rise, add it on. Each question has only one change: one discount or one rise.

**Tip:** A 25% discount on a price of 80 takes off a quarter of 80, which is 20, so you pay 60.

## What you learn

### What a percentage is

- Example: What percentage is 1 ?
- Options: 25% · 100% · 50% · 10%
- Answer: 100%
- Solution: 1 = 100/100 = 100%

### A percentage of an amount

- Example: What is 50% of 24?
- Answer: 12
- Solution: Taking 50% means taking half: 24 ÷ 2 = 12

### What percentage is it?

- Example: What percentage of 200 is 140?
- Answer: 70%
- Solution: 140/200 = 7/10 = 70/100 So 140 out of 200 is 70%.

### Discounts and price rises

- Example: A coat costs 210 shekels, and there is a 50% discount on it. How much do you pay after the discount?
- Answer: 105 shekels
- Solution: The discount is part of the price: 50% = 1/2 210 ÷ 2 = 105 Then take it away from the price: 210 − 105 = 105 After the discount you pay 105 shekels.

## Not on the site yet

- Repeated discounts
- Fractions of a percent

The exercises are made by rules and the answers are worked out in code. The topic follows the new Israeli elementary programme (2023).

[Practise on the site](https://kixplo.com/il/en/) · [All Grade 6 topics](https://kixplo.com/il/en/math/grade-6/2023/)