93.37 is what percent of 560.25 - 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 560.25 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 560.25, so we can write it down as 100%=560.25.
4. We know, that x% equals 93.37 of the output value, so we can write it down as x%=93.37.
5. Now we have two simple equations:
1) 100%=560.25
2) x%=93.37
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%=560.25/93.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.37 is what percent of 560.25

100%/x%=560.25/93.37
(100/x)*x=(560.25/93.37)*x       - we multiply both sides of the equation by x
100=6.0003213023455*x       - we divide both sides of the equation by (6.0003213023455) to get x
100/6.0003213023455=x
16.665774207943=x
x=16.665774207943

now we have:
93.37 is 16.665774207943% of 560.25