597.95 is what percent of 4538.47 - 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 4538.47 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 4538.47, so we can write it down as 100%=4538.47.
4. We know, that x% equals 597.95 of the output value, so we can write it down as x%=597.95.
5. Now we have two simple equations:
1) 100%=4538.47
2) x%=597.95
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%=4538.47/597.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 597.95 is what percent of 4538.47

100%/x%=4538.47/597.95
(100/x)*x=(4538.47/597.95)*x       - we multiply both sides of the equation by x
100=7.5900493352287*x       - we divide both sides of the equation by (7.5900493352287) to get x
100/7.5900493352287=x
13.175144927696=x
x=13.175144927696

now we have:
597.95 is 13.175144927696% of 4538.47