58.91 is what percent of 1.108 - 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 1.108 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 1.108, so we can write it down as 100%=1.108.
4. We know, that x% equals 58.91 of the output value, so we can write it down as x%=58.91.
5. Now we have two simple equations:
1) 100%=1.108
2) x%=58.91
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%=1.108/58.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.91 is what percent of 1.108

100%/x%=1.108/58.91
(100/x)*x=(1.108/58.91)*x       - we multiply both sides of the equation by x
100=0.018808351722967*x       - we divide both sides of the equation by (0.018808351722967) to get x
100/0.018808351722967=x
5316.7870036101=x
x=5316.7870036101

now we have:
58.91 is 5316.7870036101% of 1.108