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Here we will learn how to find percentage of an amount with and without using a calculator.
There are also percentage of an amount worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if youβre still stuck.
A percentage of an amount can be calculated by writing the percentage as a decimal or a fraction and then multiplying it by the amount. There are different methods you can use to calculate a percentage of a quantity.
For example, what is 35% of 60?
Method 1: The one percent method
Find 1% first by dividing the amount by 100 and then multiply this by the amount.
Method 2: The decimal multiplier method
Write the percentage as a decimal and then multiply the amount by this decimal.
Method 3: Using equivalent fractions
Write the percentage as a fraction in its simplest form and then multiply the amount by this fraction.
Alternatively you can calculate the fraction of the quantity like this,
of of
of
of
Method 4: Building up an answer from simple percentages
Using simple percentages, you can build up to the answer to the question.
This question could be broken down into the following steps.
of (To find 10% we divide by 10)
of (5% is half of 10%)
of (30% is three lots of 10%)
of (30% plus 5%)
Methods 1 and 2 lend themselves to questions where a calculator is allowed. Methods 3 and 4 lend themselves to questions where calculators are not permitted.
You may be asked to express an amount as a percentage of another.
For example, express 40 as a percentage of 50.
This would mean writing the numbers as a fraction, and multiplying by 100. The first amount is the numerator and the second amount is the denominator.
A different question could ask you to write 50 as a percentage of 20. Here it is very important to make sure that the first amount is the numerator and the second amount is the denominator.
In order to find the percentage of an amount without a calculator:
Get your free percentage of an amount worksheet of 20+ questions and answers. Includes reasoning and applied questions.
DOWNLOAD FREEGet your free percentage of an amount worksheet of 20+ questions and answers. Includes reasoning and applied questions.
DOWNLOAD FREEFind
2 Decide which method to use. Either a division or finding
Since
3 Work out the answer.
The answer is
Find
Identify the percentage.
Decide which method to use. Either a division or finding 10%, 1% and building it up.
Since
Work out the answer.
The answer is
Find
Identify the percentage.
Decide which method to use. Either a division or finding 10%, 1% and building it up.
Since
Then we divide by
Work out the answer.
Therefore,
The answer is
Find
Identify the percentage.
Decide which method to use. Either a division or finding 10%, 1% and building it up.
Since
Then we divide by
Work out the answer.
Therefore,
The answer is
In order to the percentage of an amount with a calculator:
Step by step guide: Percentage Multipliers
Work out
Identify the percentage.
Find the decimal multiplier.
Letβs find the decimal equivalent of
We can calculate this by dividing the numerator of
Writing
Work out the answer by multiplying the original amount by the decimal multiplier.
The answer is
Work out
Identify the percentage.
Find the decimal multiplier.
We can calculate this by dividing the numerator of
Work out the answer by multiplying the original amount by the decimal multiplier.
The answer is
E.g.
An answer of
If you are asked to find
E.g.
Calculate
E.g.
Find
10%
The answer is
Percentage of an amount is part of our series of lessons to support revision on percentages. You may find it helpful to start with the main percentages lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Other lessons in this series include:
1. Without a calculator,
work out of
(2 marks)
for finding
(1)
for the correct answer
(1)
2. Andy is paid per month. He gets a % increase in his monthly earnings. How much money will Andy earn per month after the increase?
(2 marks)
(1)
for the correct answer
(1)
3. At a shop T-shirts cost each. If you buy or more T-shirts, you can get off the total cost of all of the T-Shirts you have bought.
Work out the total cost of buying T-shirts.
(3 Marks)
(1)
of ,
(1)
(1)
You have now learned how to:
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