What is 0.1111111111111 percent of 7 - 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 7 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 7 is 100%, so we can write it down as 7=100%.
4. We know, that x is 0.1111111111111% of the output value, so we can write it down as x=0.1111111111111%.
5. Now we have two simple equations:
1) 7=100%
2) x=0.1111111111111%
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:
7/x=100%/0.1111111111111%
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 0.1111111111111% of 7

7/x=100/0.1111111111111
(7/x)*x=(100/0.1111111111111)*x       - we multiply both sides of the equation by x
7=900.00000000009*x       - we divide both sides of the equation by (900.00000000009) to get x
7/900.00000000009=x
0.007777777777777=x
x=0.007777777777777

now we have:
0.1111111111111% of 7=0.007777777777777