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A computer problem...but really math in disguise.

I have a file system that has used 105076 of space. I need to resize the file system so that 105076 is 98% of x. How do I find x?

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$\frac{98}{100}\ast x=105076\Rightarrow x=\frac{105076\ast 100}{98}\Rightarrow x=\frac{105076\ast 50}{49}$ – user1729 Jul 5 '12 at 10:36

The easiest way to think about problems like these is to first work out what one per cent is: you have $98\%$ so you just need to divide by $98$. Then you want to find out what $100\%$ is, so you multiply by $100$.

There are slightly more direct ways to do it when you understand percentages better. But the above way is intuitive and flexible.

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Since $105076\;$ is $98\%$ of $x$, then $0.98*x = 105076\;\;$. This means $x = 105076/0.98 = 107220.4\;\;\;$.

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