5023.56 is what percent of 57285.5 - 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 57285.5 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 57285.5, so we can write it down as 100%=57285.5.
4. We know, that x% equals 5023.56 of the output value, so we can write it down as x%=5023.56.
5. Now we have two simple equations:
1) 100%=57285.5
2) x%=5023.56
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%=57285.5/5023.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5023.56 is what percent of 57285.5

100%/x%=57285.5/5023.56
(100/x)*x=(57285.5/5023.56)*x       - we multiply both sides of the equation by x
100=11.403367333126*x       - we divide both sides of the equation by (11.403367333126) to get x
100/11.403367333126=x
8.7693395361828=x
x=8.7693395361828

now we have:
5023.56 is 8.7693395361828% of 57285.5