655.52 is what percent of 952.9 - 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 952.9 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 952.9, so we can write it down as 100%=952.9.
4. We know, that x% equals 655.52 of the output value, so we can write it down as x%=655.52.
5. Now we have two simple equations:
1) 100%=952.9
2) x%=655.52
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%=952.9/655.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 655.52 is what percent of 952.9

100%/x%=952.9/655.52
(100/x)*x=(952.9/655.52)*x       - we multiply both sides of the equation by x
100=1.4536551134977*x       - we divide both sides of the equation by (1.4536551134977) to get x
100/1.4536551134977=x
68.792108300976=x
x=68.792108300976

now we have:
655.52 is 68.792108300976% of 952.9