What is 96.875 percent of 9.09090909091 - 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 9.09090909091 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 9.09090909091 is 100%, so we can write it down as 9.09090909091=100%.
4. We know, that x is 96.875% of the output value, so we can write it down as x=96.875%.
5. Now we have two simple equations:
1) 9.09090909091=100%
2) x=96.875%
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:
9.09090909091/x=100%/96.875%
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 96.875% of 9.09090909091

9.09090909091/x=100/96.875
(9.09090909091/x)*x=(100/96.875)*x       - we multiply both sides of the equation by x
9.09090909091=1.0322580645161*x       - we divide both sides of the equation by (1.0322580645161) to get x
9.09090909091/1.0322580645161=x
8.8068181818191=x
x=8.8068181818191

now we have:
96.875% of 9.09090909091=8.8068181818191