What is 92.592592592593 percent of 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 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 108 is 100%, so we can write it down as 108=100%.
4. We know, that x is 92.592592592593% of the output value, so we can write it down as x=92.592592592593%.
5. Now we have two simple equations:
1) 108=100%
2) x=92.592592592593%
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:
108/x=100%/92.592592592593%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 92.592592592593% of 108

108/x=100/92.592592592593
(108/x)*x=(100/92.592592592593)*x       - we multiply both sides of the equation by x
108=1.08*x       - we divide both sides of the equation by (1.08) to get x
108/1.08=x
100=x
x=100

now we have:
92.592592592593% of 108=100