11.27 is what percent of 86.5 - 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 86.5 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 86.5, so we can write it down as 100%=86.5.
4. We know, that x% equals 11.27 of the output value, so we can write it down as x%=11.27.
5. Now we have two simple equations:
1) 100%=86.5
2) x%=11.27
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%=86.5/11.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.27 is what percent of 86.5

100%/x%=86.5/11.27
(100/x)*x=(86.5/11.27)*x       - we multiply both sides of the equation by x
100=7.6752440106477*x       - we divide both sides of the equation by (7.6752440106477) to get x
100/7.6752440106477=x
13.028901734104=x
x=13.028901734104

now we have:
11.27 is 13.028901734104% of 86.5