What is 100 percent of 11111111 - 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 11111111 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 11111111 is 100%, so we can write it down as 11111111=100%.
4. We know, that x is 100% of the output value, so we can write it down as x=100%.
5. Now we have two simple equations:
1) 11111111=100%
2) x=100%
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:
11111111/x=100%/100%
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 100% of 11111111

11111111/x=100/100
(11111111/x)*x=(100/100)*x       - we multiply both sides of the equation by x
11111111=1*x       - we divide both sides of the equation by (1) to get x
11111111/1=x
11111111=x
x=11111111

now we have:
100% of 11111111=11111111