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Maths
Summary
It is often useful to calculate percentages of amounts when solving problems. Some are simple and some require a little more work.
There are two methods to calculating percentages of amounts: by using simple percentages that you already know, or by converting the percentage to a fraction and multiplying.
You can always split up a percentage into smaller simple ones. Below are some simple percentages that you need to remember how to calculate, as well as their equivalent fraction pairs.
PERCENTAGE | FRACTION | HOW TO CALCULATE |
| | Divide by two |
| | Divide by four |
| | Divide by ten |
| | Divide by ten and then two |
| | Divide by one hundred |
In a sale, everything is off. What saving would be made on ?
Split into simple percentages.
Work out each of the simple percentages.
of
of
of
Add together the simple percentages.
The second method is to simply turn the percentage into a fraction and multiply by the amount. Remember that to convert from a percentage to a fraction you take the percentage as a fraction out of one hundred.
Calculate of .
Write as a fraction out of one hundred.
Multiply by .
Mean, median, mode and range
FAQs
Question: How do I work out a percentage using fractions?
Answer: Turn the percentage into a fraction and multiply by the amount. To convert from a percentage to a fraction you take the percentage as a fraction out of one hundred.
Question: How do I work out 1% of a number?
Answer: To work out 1% of a number, divide by one hundred.
Question: How do I work out 10% of a number?
Answer: To work out 10% of a number, divide by ten.
Question: How do I work out 50% of a number?
Answer: To work out 50% of a number, divide by two.
Question: How do I find a percentage of an amount?
Answer: There are two methods to calculating percentages of amounts: by using simple percentages that you already know, or by converting the percentage to a fraction and multiplying.
Theory
Exercises
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