# Percentages: Learn Maths

## Percentages

Basics: » Per cent means out of 100, so 10% means "10 out of 100".
To work out the percentage OF something, replace the word OF with multiplication (×).

To get you introduced to percentages, we will go through 3 different types of percentage questions that come up in GCSE Maths. Many more types of percentage questions are studied in our learning programme. Don’t worry, you probably already know most of it!

## Type 1: Find x% of y

Question 1: Find 15% of £8 - with a Calculator
Question 2: Find 125% of 300g - without a Calculator

## Type 2: Express x as a % of y

Divide x by y, then multiply by 100

Question 3: Find 16p as a percentage of 60p - with a Calculator
Question 4: Organic fruit and veg business owner Lucy measured her premium Melon's width at the start and end of the month. At the beginning of the month, it was 98 cm wide, and at the end of the month, it was 1.45 m wide.
Please give us the width at the end of the month as a percentage of the start's width.

## Type 3: New amount after a % increase or decrease

There are two different ways of finding the new amount after a percentage increase or decrease.
Method 1: Find the % then Add or Subtract
Find the percentage of the ORIGINAL AMOUNT. ADD this on to (or SUBTRACT from) the ORIGINAL VALUE.

Question 5: A laptop has increased in price by 30%. The original cost was £400.
What is the new price of the laptop?

Method 2: The Multiplier Method
With this method, you simply MULTIPLY the ORIGINAL VALUE by the MULTIPLIER and by magic – you have the answer. REMEMBER
% DECREASE has a multiplier LESS THAN 1.
% INCREASE has a multiplier GREATER THAN 1.

Question 6: A bicycle has reduced in price by 30% in the January New Year sales. It originally cost £420.
What is the new price of the bike?

Hopefully, you found the above a breeze! Join us for more in-depth learning and a custom learning plan design around you!