111.26 is what percent of 1111.26 - 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 1111.26 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 100% equals 1111.26, so we can write it down as 100%=1111.26.
4. We know, that x% equals 111.26 of the output value, so we can write it down as x%=111.26.
5. Now we have two simple equations:
1) 100%=1111.26
2) x%=111.26
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:
100%/x%=1111.26/111.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.26 is what percent of 1111.26

100%/x%=1111.26/111.26
(100/x)*x=(1111.26/111.26)*x       - we multiply both sides of the equation by x
100=9.987956138774*x       - we divide both sides of the equation by (9.987956138774) to get x
100/9.987956138774=x
10.012058384177=x
x=10.012058384177

now we have:
111.26 is 10.012058384177% of 1111.26