97.31 is what percent of 815.22 - 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 815.22 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 815.22, so we can write it down as 100%=815.22.
4. We know, that x% equals 97.31 of the output value, so we can write it down as x%=97.31.
5. Now we have two simple equations:
1) 100%=815.22
2) x%=97.31
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%=815.22/97.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.31 is what percent of 815.22

100%/x%=815.22/97.31
(100/x)*x=(815.22/97.31)*x       - we multiply both sides of the equation by x
100=8.3775562634878*x       - we divide both sides of the equation by (8.3775562634878) to get x
100/8.3775562634878=x
11.936655136037=x
x=11.936655136037

now we have:
97.31 is 11.936655136037% of 815.22