11.5 is what percent of 131.8 - 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 131.8 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 131.8, so we can write it down as 100%=131.8.
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%=131.8
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%=131.8/11.5
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 131.8

100%/x%=131.8/11.5
(100/x)*x=(131.8/11.5)*x       - we multiply both sides of the equation by x
100=11.460869565217*x       - we divide both sides of the equation by (11.460869565217) to get x
100/11.460869565217=x
8.7253414264036=x
x=8.7253414264036

now we have:
11.5 is 8.7253414264036% of 131.8