40.88 is what percent of 58.61 - 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 58.61 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 58.61, so we can write it down as 100%=58.61.
4. We know, that x% equals 40.88 of the output value, so we can write it down as x%=40.88.
5. Now we have two simple equations:
1) 100%=58.61
2) x%=40.88
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%=58.61/40.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.88 is what percent of 58.61

100%/x%=58.61/40.88
(100/x)*x=(58.61/40.88)*x       - we multiply both sides of the equation by x
100=1.4337084148728*x       - we divide both sides of the equation by (1.4337084148728) to get x
100/1.4337084148728=x
69.749189558096=x
x=69.749189558096

now we have:
40.88 is 69.749189558096% of 58.61