59.5 is what percent of 58.16 - 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 58.16 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 58.16, so we can write it down as 100%=58.16.
4. We know, that x% equals 59.5 of the output value, so we can write it down as x%=59.5.
5. Now we have two simple equations:
1) 100%=58.16
2) x%=59.5
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%=58.16/59.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.5 is what percent of 58.16

100%/x%=58.16/59.5
(100/x)*x=(58.16/59.5)*x       - we multiply both sides of the equation by x
100=0.97747899159664*x       - we divide both sides of the equation by (0.97747899159664) to get x
100/0.97747899159664=x
102.30398899587=x
x=102.30398899587

now we have:
59.5 is 102.30398899587% of 58.16