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:
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.
Slide 1 of 7, Written: Increase sixty by twenty percent. Below: A bar shaded orange – 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)
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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 :
The original amount is 100%
Add on the percentage the amount is being increased by to get the total percentage.
Convert the total percentage to a decimal by dividing by 100. This is the multiplier.
Slide 1 of 10, Example 1: Increase sixty by twenty percent. , Increase 60 by 20%
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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
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 £24,500. However, with the expected increase the new costs will be £27,440. (24,500 × 1∙12). The business will have to plan their budget to meet these increased costs.
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Game - Divided Islands
Play the Divided Islands game! gamePlay the Divided Islands game!
Using your maths skills, help to build bridges and bring light back to the islands in this free game from BBC Bitesize.
If the amount increases then we use the formula: (new value−original value)original value×100= Percentage increase. (new value − original value) original value × 100 = Percentage increase .
If the amount increases then we use the formula: (new value−original value)original value×100= Percentage increase. (new value − original value) original value × 100 = Percentage increase .
The percentage can be found by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate the percentage is: (value/total value)×100%.
For example, the salary of a person increases from $700 to $1050 after a year. Here, the initial value = 700, the final value = 1050. Substituting the values in the formula, Percentage Increase = [(1050 - 700)/700] × 100 = (350/700) × 100 = 50%. Therefore, the percentage increase in the salary of the person is 50%.
15% of 100 is 15. To find this answer, we first must find the value of 1% of 100. To find the value of 1% of any starting number, we divide it by 100. This is because a percentage is a fraction with an unseen denominator of 100.
It is calculated by subtracting the original number from the new number, dividing the result by the original number, and then multiplying it by 100. The formula for calculating a percentage increase is: (New Number - Original Number) / Original Number x 100.
To calculate a 5% pay raise, you only have to multiply the percentage of the increase (in decimals) by your current salary and add your current salary. So, assuming your monthly salary is $1,000, a 5% increase will be 0.05 multiplied by $1,000 plus the current salary, resulting in $1,050.
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