What is 0.0909090909 percent of 100 - 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 100 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 is 100%, so we can write it down as 100=100%.
4. We know, that x is 0.0909090909% of the output value, so we can write it down as x=0.0909090909%.
5. Now we have two simple equations:
1) 100=100%
2) x=0.0909090909%
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=100%/0.0909090909%
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 0.0909090909% of 100

100/x=100/0.0909090909
(100/x)*x=(100/0.0909090909)*x       - we multiply both sides of the equation by x
100=1100.00000011*x       - we divide both sides of the equation by (1100.00000011) to get x
100/1100.00000011=x
0.0909090909=x
x=0.0909090909

now we have:
0.0909090909% of 100=0.0909090909