72.62 is what percent of 915.4 - 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 915.4 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 915.4, so we can write it down as 100%=915.4.
4. We know, that x% equals 72.62 of the output value, so we can write it down as x%=72.62.
5. Now we have two simple equations:
1) 100%=915.4
2) x%=72.62
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%=915.4/72.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.62 is what percent of 915.4

100%/x%=915.4/72.62
(100/x)*x=(915.4/72.62)*x       - we multiply both sides of the equation by x
100=12.605342880749*x       - we divide both sides of the equation by (12.605342880749) to get x
100/12.605342880749=x
7.9331439807734=x
x=7.9331439807734

now we have:
72.62 is 7.9331439807734% of 915.4