11.6 is what percent of 8.6 - 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 8.6 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 8.6, so we can write it down as 100%=8.6.
4. We know, that x% equals 11.6 of the output value, so we can write it down as x%=11.6.
5. Now we have two simple equations:
1) 100%=8.6
2) x%=11.6
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%=8.6/11.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.6 is what percent of 8.6

100%/x%=8.6/11.6
(100/x)*x=(8.6/11.6)*x       - we multiply both sides of the equation by x
100=0.74137931034483*x       - we divide both sides of the equation by (0.74137931034483) to get x
100/0.74137931034483=x
134.88372093023=x
x=134.88372093023

now we have:
11.6 is 134.88372093023% of 8.6