12 is what percent of 40.865 - 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 40.865 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 40.865, so we can write it down as 100%=40.865.
4. We know, that x% equals 12 of the output value, so we can write it down as x%=12.
5. Now we have two simple equations:
1) 100%=40.865
2) x%=12
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%=40.865/12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12 is what percent of 40.865

100%/x%=40.865/12
(100/x)*x=(40.865/12)*x       - we multiply both sides of the equation by x
100=3.4054166666667*x       - we divide both sides of the equation by (3.4054166666667) to get x
100/3.4054166666667=x
29.364982258657=x
x=29.364982258657

now we have:
12 is 29.364982258657% of 40.865