575.2 is what percent of 865.2 - 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 865.2 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 865.2, so we can write it down as 100%=865.2.
4. We know, that x% equals 575.2 of the output value, so we can write it down as x%=575.2.
5. Now we have two simple equations:
1) 100%=865.2
2) x%=575.2
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%=865.2/575.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 575.2 is what percent of 865.2

100%/x%=865.2/575.2
(100/x)*x=(865.2/575.2)*x       - we multiply both sides of the equation by x
100=1.5041724617524*x       - we divide both sides of the equation by (1.5041724617524) to get x
100/1.5041724617524=x
66.481738326399=x
x=66.481738326399

now we have:
575.2 is 66.481738326399% of 865.2