616.65 is what percent of 709.02 - 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 709.02 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 709.02, so we can write it down as 100%=709.02.
4. We know, that x% equals 616.65 of the output value, so we can write it down as x%=616.65.
5. Now we have two simple equations:
1) 100%=709.02
2) x%=616.65
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%=709.02/616.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 616.65 is what percent of 709.02

100%/x%=709.02/616.65
(100/x)*x=(709.02/616.65)*x       - we multiply both sides of the equation by x
100=1.1497932376551*x       - we divide both sides of the equation by (1.1497932376551) to get x
100/1.1497932376551=x
86.972158754337=x
x=86.972158754337

now we have:
616.65 is 86.972158754337% of 709.02