6 is what percent of 3936 - 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 3936 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 3936, so we can write it down as 100%=3936.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=3936
2) x%=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%=3936/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 3936

100%/x%=3936/6
(100/x)*x=(3936/6)*x       - we multiply both sides of the equation by x
100=656*x       - we divide both sides of the equation by (656) to get x
100/656=x
0.15243902439024=x
x=0.15243902439024

now we have:
6 is 0.15243902439024% of 3936