58.56 is what percent of 102.48 - 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 102.48 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 102.48, so we can write it down as 100%=102.48.
4. We know, that x% equals 58.56 of the output value, so we can write it down as x%=58.56.
5. Now we have two simple equations:
1) 100%=102.48
2) x%=58.56
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%=102.48/58.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.56 is what percent of 102.48

100%/x%=102.48/58.56
(100/x)*x=(102.48/58.56)*x       - we multiply both sides of the equation by x
100=1.75*x       - we divide both sides of the equation by (1.75) to get x
100/1.75=x
57.142857142857=x
x=57.142857142857

now we have:
58.56 is 57.142857142857% of 102.48