What is 98.92 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 98.92% of the output value, so we can write it down as x=98.92%.
5. Now we have two simple equations:
1) 108=100%
2) x=98.92%
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%/98.92%
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 98.92% of 108

108/x=100/98.92
(108/x)*x=(100/98.92)*x       - we multiply both sides of the equation by x
108=1.0109179134654*x       - we divide both sides of the equation by (1.0109179134654) to get x
108/1.0109179134654=x
106.8336=x
x=106.8336

now we have:
98.92% of 108=106.8336