11.5 is what percent of 111.5 - 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 111.5 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 111.5, so we can write it down as 100%=111.5.
4. We know, that x% equals 11.5 of the output value, so we can write it down as x%=11.5.
5. Now we have two simple equations:
1) 100%=111.5
2) x%=11.5
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%=111.5/11.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.5 is what percent of 111.5

100%/x%=111.5/11.5
(100/x)*x=(111.5/11.5)*x       - we multiply both sides of the equation by x
100=9.695652173913*x       - we divide both sides of the equation by (9.695652173913) to get x
100/9.695652173913=x
10.313901345291=x
x=10.313901345291

now we have:
11.5 is 10.313901345291% of 111.5