372.82 is what percent of 460 - 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 460 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 460, so we can write it down as 100%=460.
4. We know, that x% equals 372.82 of the output value, so we can write it down as x%=372.82.
5. Now we have two simple equations:
1) 100%=460
2) x%=372.82
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%=460/372.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 372.82 is what percent of 460

100%/x%=460/372.82
(100/x)*x=(460/372.82)*x       - we multiply both sides of the equation by x
100=1.233839386299*x       - we divide both sides of the equation by (1.233839386299) to get x
100/1.233839386299=x
81.047826086957=x
x=81.047826086957

now we have:
372.82 is 81.047826086957% of 460