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How to increase an amount by a percentage

Part of MathsPercentages

Key points

  • An amount can be increased by a in different ways:

    • By working out the increase and adding to the original amount.

    • By considering the resulting overall percentage and using a .

  • To be able to increase an amount by a percentage, you need to be able to work out percentages of an amount , convert percentages to decimals and decimals to percentages.

  • Identifying multipliers is a useful technique to use for this method. Processing calculations in one step can save time.

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Calculate the percentage increase and add to the original amount

To increase an amount by a given percentage:

  1. Work out the percentage of the amount. There are different ways to do this, choose your preferred method:

    a. Combining other percentages, for example, 20% is two lots of 10%

    b. Using equivalent fractions, for example 20% is the same as 1/5

    c. Using a calculator, for example to work out 20% divide 20 by 100 and multiply by the amount.

  2. Add to the original amount.

Examples

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  1. Written: Increase sixty by twenty percent. Below: A bar shaded orange 鈥 labelled sixty. A bar split in five block with the one shaded purple and labelled twenty percent of sixty. The final bar is the first orange bar with purple block from the second added to the end of it.

    To increase 60 by 20%, work out 20% of 60, then add it to the original amount (60)

Question

Increase 40 by 15%

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How to increase an amount by a percentage using a multiplier

To increase an amount by a percentage using a :

  1. The original amount is 100%

  2. Add on the percentage the amount is being increased by to get the total percentage.

  3. Convert the total percentage to a decimal by dividing by 100. This is the multiplier.

  4. Multiply the original amount by the multiplier.

Examples

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  1. Example 1: Increase sixty by twenty percent.

    Increase 60 by 20%

Question

Increase 1700 by 35%

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Practise increasing an amount by a percentage

Practise increasing an amount by a percentage in this quiz.

Quiz

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Real-world maths

A black woman with a blue shirt is sat at a desk writing on a notepad. A laptop screen is open and there is a second computer screen behind.
Using percentage increase calculations can help a company to plan successfully.

Companies have to budget for increased costs as prices rise. Being able to work out and predict future costs using percentage increase calculations can help a company to plan successfully.

For example, a production company predicts a 12% increase in costs. The budget for the costs was originally 拢24,500. However, with the expected increase the new costs will be 拢27,440. (24,500 脳 1鈭12). The business will have to plan their budget to meet these increased costs.

A black woman with a blue shirt is sat at a desk writing on a notepad. A laptop screen is open and there is a second computer screen behind.
Using percentage increase calculations can help a company to plan successfully.
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Game - Divided Islands

Using your maths skills, help to build bridges and bring light back to the islands in this free game from 成人快手 Bitesize.

Play the Divided Islands game!
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More on Percentages

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