406.25 is what percent of 915 - 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 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, so we can write it down as 100%=915.
4. We know, that x% equals 406.25 of the output value, so we can write it down as x%=406.25.
5. Now we have two simple equations:
1) 100%=915
2) x%=406.25
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%=915/406.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 406.25 is what percent of 915

100%/x%=915/406.25
(100/x)*x=(915/406.25)*x       - we multiply both sides of the equation by x
100=2.2523076923077*x       - we divide both sides of the equation by (2.2523076923077) to get x
100/2.2523076923077=x
44.398907103825=x
x=44.398907103825

now we have:
406.25 is 44.398907103825% of 915