57.04 is what percent of 593.6 - 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 593.6 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 593.6, so we can write it down as 100%=593.6.
4. We know, that x% equals 57.04 of the output value, so we can write it down as x%=57.04.
5. Now we have two simple equations:
1) 100%=593.6
2) x%=57.04
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%=593.6/57.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.04 is what percent of 593.6

100%/x%=593.6/57.04
(100/x)*x=(593.6/57.04)*x       - we multiply both sides of the equation by x
100=10.406732117812*x       - we divide both sides of the equation by (10.406732117812) to get x
100/10.406732117812=x
9.6091644204852=x
x=9.6091644204852

now we have:
57.04 is 9.6091644204852% of 593.6