11.08 is what percent of 11.5 - 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 11.5 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 11.5, so we can write it down as 100%=11.5.
4. We know, that x% equals 11.08 of the output value, so we can write it down as x%=11.08.
5. Now we have two simple equations:
1) 100%=11.5
2) x%=11.08
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%=11.5/11.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.08 is what percent of 11.5

100%/x%=11.5/11.08
(100/x)*x=(11.5/11.08)*x       - we multiply both sides of the equation by x
100=1.0379061371841*x       - we divide both sides of the equation by (1.0379061371841) to get x
100/1.0379061371841=x
96.347826086957=x
x=96.347826086957

now we have:
11.08 is 96.347826086957% of 11.5