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# Percentage multipliers
- URL: https://www.esheets.io/percentage-multipliers/
- Published: 2025-04-06T16:34:09.000Z
- Updated: 2026-06-21T18:04:27.000Z
- Author: Richard Linnington
- Tags: Maths, Number

Percentage multipliers are a quick and powerful way to increase or decrease amounts in one step—like adding 20% VAT to a shopping bill or working out a 15% discount during a sale. Instead of doing two separate steps (finding the percentage, then adding or subtracting it), percentage multipliers let you do it all in one go with a single calculation. [Jump to the questions](#practise-now)

## Practise now

Worksheet preview and key skills 

### Worksheet preview

Practise percentage multipliers with this self-marking maths worksheet.

The interactive worksheet below generates questions, gives instant feedback, and lets students record their score.

#### What you’ll practise

- Converting a percentage increase or decrease into a multiplier.
- Using multipliers greater than 1 for increases.
- Using multipliers less than 1 for decreases.
- Multiplying by the original amount.

Use the interactive worksheet below, or read the [Topic guide](#topic-guide) for the method and worked example.

Enter the multiplier for each percentage change: 

## Topic guide

### What this worksheet practises

This worksheet focuses purely on creating the correct decimal multiplier for a specific percentage change. Mastering multipliers is essential for answering compound interest and reverse percentage questions efficiently.

### Key method

A multiplier is just a percentage written as a decimal, but it is always based around the original 100%.

- **Finding a percentage of an amount:** Simply divide the percentage by 100\. (e.g. finding 42% uses the multiplier 0.42).
- **Increasing by a percentage:** Add the percentage to 100%, then divide by 100\. (e.g. a 15% increase means you have 115%. The multiplier is 1.15).
- **Decreasing by a percentage:** Subtract the percentage from 100%, then divide by 100\. (e.g. a 20% decrease means you have 80% left over. The multiplier is 0.80).

### Worked example

**Write down the decimal multiplier for:** 
**1) A 6% increase.** 
**2) A 35% decrease.** 
**3) A 2.5% increase.**

Example 1: 100% + 6% = 106%. Divide by 100 to get the decimal: **1.06**.

Example 2: 100% − 35% = 65%. Divide by 100 to get the decimal: **0.65**.

Example 3: 100% + 2.5% = 102.5%. Divide by 100 to get the decimal: **1.025**.

### Common mistakes to avoid

The most common mistake is dealing with single-digit percentage increases. If asked for a 4% increase multiplier, students often write 1.4 (which is actually a massive 40% increase) instead of the correct 1.04\. Remember that the hundreds column is the whole amount, the tenths column is 10s of percent, and the hundredths column is single percents.

### How to check your answer

Any multiplier for an increase must be greater than 1\. Any multiplier for a decrease must be less than 1\. Any multiplier for finding a simple fraction of an amount must be less than 1.