8 1/4% of 800 is what number?

1 Answer
Aug 7, 2016

66

Explanation:

There are two ways of writing percentage.
Using the given value of 8 1/4%

When written in a sentence you generally se it as 8 1/4%
but when calculating you see it as (8 1/4)/100
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I know it is not normally spoken this way but for a moment think about the term: 2 of 6. This is saying 2xx6

So 8 1/4% of 800 is: (8 1/4)/100xx800

But 800 is the same as 8xx100 giving

(8 1/4)/(cancel(100))xx cancel(100)xx8

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It is known that:
1/4 of 8 is 2

and that 8xx8=64
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Think of 8 1/4" as "8+1/4

So (8+1/4)xx8 = 64+2=66