567.08 is what percent of 585.37 - 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 585.37 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 585.37, so we can write it down as 100%=585.37.
4. We know, that x% equals 567.08 of the output value, so we can write it down as x%=567.08.
5. Now we have two simple equations:
1) 100%=585.37
2) x%=567.08
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%=585.37/567.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 567.08 is what percent of 585.37

100%/x%=585.37/567.08
(100/x)*x=(585.37/567.08)*x       - we multiply both sides of the equation by x
100=1.0322529449108*x       - we divide both sides of the equation by (1.0322529449108) to get x
100/1.0322529449108=x
96.875480465347=x
x=96.875480465347

now we have:
567.08 is 96.875480465347% of 585.37