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