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Year 8 Interactive Maths - Second Edition


Expressing One Quantity as a Percentage of Another Quantity

To express one quantity as a percentage of another, make sure that both quantities are expressed in the same units.  Write the given quantity as a fraction of the total and multiply it by 100%.  Then simplify.


Example 8

I obtained 40 marks out of 60 in a test.  Convert this test mark to a percentage.  Round your answer to the nearest per cent.

Solution:

So, the percentage test mark is 67%.


Note:

Write 40 as a fraction of 60.  Then multiply it by 100%.


Example 9

What percentage of $5 is 42¢?

Solution:


Note:

To express one quantity as a percentage of another, we must have both quantities in the same units.


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