Math CentralQuandaries & Queries


Question from Donna:

I know 6685 is 67.5%. How do I calculate the total number.

Hi Donna,

If you knew the original number then you could calculate 65.5% of the original number and you would get 6685. That is

\[\frac{65.5}{100} \times \mbox { (original number) } = 6685.\]

Now if you multiply both sides of this equation by $\frac{100}{65.5}$ you get

\[\mbox { (original number) } = \frac{100}{65.5} \times 6685 = 10206.11.\]


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