465.52 is what percent of 570 - 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 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, so we can write it down as 100%=570.
4. We know, that x% equals 465.52 of the output value, so we can write it down as x%=465.52.
5. Now we have two simple equations:
1) 100%=570
2) x%=465.52
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%=570/465.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 465.52 is what percent of 570

100%/x%=570/465.52
(100/x)*x=(570/465.52)*x       - we multiply both sides of the equation by x
100=1.2244371885204*x       - we divide both sides of the equation by (1.2244371885204) to get x
100/1.2244371885204=x
81.670175438596=x
x=81.670175438596

now we have:
465.52 is 81.670175438596% of 570