512.25 is what percent of 585 - 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 585 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 585, so we can write it down as 100%=585.
4. We know, that x% equals 512.25 of the output value, so we can write it down as x%=512.25.
5. Now we have two simple equations:
1) 100%=585
2) x%=512.25
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%=585/512.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 512.25 is what percent of 585

100%/x%=585/512.25
(100/x)*x=(585/512.25)*x       - we multiply both sides of the equation by x
100=1.1420204978038*x       - we divide both sides of the equation by (1.1420204978038) to get x
100/1.1420204978038=x
87.564102564103=x
x=87.564102564103

now we have:
512.25 is 87.564102564103% of 585