What is 11.1111111111 percent of 1 - 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 1 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 1 is 100%, so we can write it down as 1=100%.
4. We know, that x is 11.1111111111% of the output value, so we can write it down as x=11.1111111111%.
5. Now we have two simple equations:
1) 1=100%
2) x=11.1111111111%
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:
1/x=100%/11.1111111111%
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 11.1111111111% of 1

1/x=100/11.1111111111
(1/x)*x=(100/11.1111111111)*x       - we multiply both sides of the equation by x
1=9.000000000009*x       - we divide both sides of the equation by (9.000000000009) to get x
1/9.000000000009=x
0.111111111111=x
x=0.111111111111

now we have:
11.1111111111% of 1=0.111111111111