What is 10100110111 percent of 111 - 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 111 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 111 is 100%, so we can write it down as 111=100%.
4. We know, that x is 10100110111% of the output value, so we can write it down as x=10100110111%.
5. Now we have two simple equations:
1) 111=100%
2) x=10100110111%
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:
111/x=100%/10100110111%
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 10100110111% of 111

111/x=100/10100110111
(111/x)*x=(100/10100110111)*x       - we multiply both sides of the equation by x
111=9.9008821588084E-9*x       - we divide both sides of the equation by (9.9008821588084E-9) to get x
111/9.9008821588084E-9=x
11211122223.21=x
x=11211122223.21

now we have:
10100110111% of 111=11211122223.21