36.48 is what percent of 11.766 - 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 11.766 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 11.766, so we can write it down as 100%=11.766.
4. We know, that x% equals 36.48 of the output value, so we can write it down as x%=36.48.
5. Now we have two simple equations:
1) 100%=11.766
2) x%=36.48
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%=11.766/36.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.48 is what percent of 11.766

100%/x%=11.766/36.48
(100/x)*x=(11.766/36.48)*x       - we multiply both sides of the equation by x
100=0.32253289473684*x       - we divide both sides of the equation by (0.32253289473684) to get x
100/0.32253289473684=x
310.04589495156=x
x=310.04589495156

now we have:
36.48 is 310.04589495156% of 11.766