616.9 is what percent of 597.32 - 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 597.32 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 597.32, so we can write it down as 100%=597.32.
4. We know, that x% equals 616.9 of the output value, so we can write it down as x%=616.9.
5. Now we have two simple equations:
1) 100%=597.32
2) x%=616.9
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%=597.32/616.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 616.9 is what percent of 597.32

100%/x%=597.32/616.9
(100/x)*x=(597.32/616.9)*x       - we multiply both sides of the equation by x
100=0.96826065812936*x       - we divide both sides of the equation by (0.96826065812936) to get x
100/0.96826065812936=x
103.2779749548=x
x=103.2779749548

now we have:
616.9 is 103.2779749548% of 597.32