What is 11.111111112 percent of 90 - 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 90 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 90 is 100%, so we can write it down as 90=100%.
4. We know, that x is 11.111111112% of the output value, so we can write it down as x=11.111111112%.
5. Now we have two simple equations:
1) 90=100%
2) x=11.111111112%
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:
90/x=100%/11.111111112%
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 11.111111112% of 90

90/x=100/11.111111112
(90/x)*x=(100/11.111111112)*x       - we multiply both sides of the equation by x
90=8.99999999928*x       - we divide both sides of the equation by (8.99999999928) to get x
90/8.99999999928=x
10.0000000008=x
x=10.0000000008

now we have:
11.111111112% of 90=10.0000000008