360.52 is what percent of 570.5 - 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 570.5 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 570.5, so we can write it down as 100%=570.5.
4. We know, that x% equals 360.52 of the output value, so we can write it down as x%=360.52.
5. Now we have two simple equations:
1) 100%=570.5
2) x%=360.52
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%=570.5/360.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 360.52 is what percent of 570.5

100%/x%=570.5/360.52
(100/x)*x=(570.5/360.52)*x       - we multiply both sides of the equation by x
100=1.5824364806391*x       - we divide both sides of the equation by (1.5824364806391) to get x
100/1.5824364806391=x
63.193689745837=x
x=63.193689745837

now we have:
360.52 is 63.193689745837% of 570.5