88.57 is what percent of 58.18 - 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 58.18 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 58.18, so we can write it down as 100%=58.18.
4. We know, that x% equals 88.57 of the output value, so we can write it down as x%=88.57.
5. Now we have two simple equations:
1) 100%=58.18
2) x%=88.57
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%=58.18/88.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.57 is what percent of 58.18

100%/x%=58.18/88.57
(100/x)*x=(58.18/88.57)*x       - we multiply both sides of the equation by x
100=0.65688156260585*x       - we divide both sides of the equation by (0.65688156260585) to get x
100/0.65688156260585=x
152.2344448264=x
x=152.2344448264

now we have:
88.57 is 152.2344448264% of 58.18