8.24 is what percent of 112.58 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 112.58 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 112.58, so we can write it down as 100%=112.58.
4. We know, that x% equals 8.24 of the output value, so we can write it down as x%=8.24.
5. Now we have two simple equations:
1) 100%=112.58
2) x%=8.24
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=112.58/8.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.24 is what percent of 112.58

100%/x%=112.58/8.24
(100/x)*x=(112.58/8.24)*x       - we multiply both sides of the equation by x
100=13.662621359223*x       - we divide both sides of the equation by (13.662621359223) to get x
100/13.662621359223=x
7.3192396518032=x
x=7.3192396518032

now we have:
8.24 is 7.3192396518032% of 112.58