563.5 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 563.5 of the output value, so we can write it down as x%=563.5.
5. Now we have two simple equations:
1) 100%=585
2) x%=563.5
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%=585/563.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 563.5 is what percent of 585

100%/x%=585/563.5
(100/x)*x=(585/563.5)*x       - we multiply both sides of the equation by x
100=1.0381543921917*x       - we divide both sides of the equation by (1.0381543921917) to get x
100/1.0381543921917=x
96.324786324786=x
x=96.324786324786

now we have:
563.5 is 96.324786324786% of 585