Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Increase or Decrease by a Percentage (using a multiplier)

In this worksheet, students will learn to increase or decrease an amount by using a multiplier, plus apply this skill to written problems.

Worksheet Overview

Percentages are all around us... we just don't see them most of the time.


We may need to calculate increases... these are sometimes good like a pay rise, but can also be bad, like bills rising each year.


We may also need to calculate percentage decreases... sometimes good like a tax bill decreasing, or sometimes bad like the value of a something you own (like a car) reducing.


A small man beside a giant pair of legs 


Has he got bigger, or have I got smaller?


To find a percentage increase, we need to use a multiplier.


e.g. Increase 350 by 22%.


As we want to find 22% more than our original value, we need to add our 22% on top of our starting 100%. 

So our multiplier, in this case, will be 1.22, which represents 122% of the original value. 


Then we multiply our starting value by this:

350 × 1.22 = 427



But what about if we are looking for a percentage decrease?


e.g. Decrease 350 by 22%. 


You may be tempted to think that we need to complete the sum 350 × 0.22, right?

No, no, no! This tells us what 22% of 350 is, not how much remains after a 22% decrease


Care is needed here. Remember that 'percent' means out of 100


So we need to take the 22% from 100% first.

This makes sense if we give it some thought - we want to have 22% less than the value we started with, which represented 100%.


100 - 22 = 78

We only want to find the 78% that is left.


To complete the decrease, we calculate:

350 x 0.78 = 273




Take it slowly and we will get there...


In this activity, we will calculate the percentage increases and decreases using raw numbers and in real-life situations. 


You may want to have a calculator handy to use, so you can concentrate on practising these methods and not exhausting your mental maths brain!


Let's get started.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started

Try an activity or get started for free

  • National Tutoring Awards 2023 Shortlisted / Parents
    National Tutoring Awards 2023 Shortlisted
  • Private-Tutoring-WINNER-EducationInvestor-Awards / Parents
    Winner - Private Tutoring
  • Bett Awards Finalist / Parents
  • Winner - Best for Home Learning / Parents
    Winner - Best for Home Learning / Parents