18 is what percent of 3946 - 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 3946 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 3946, so we can write it down as 100%=3946.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=3946
2) x%=18
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%=3946/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18 is what percent of 3946

100%/x%=3946/18
(100/x)*x=(3946/18)*x       - we multiply both sides of the equation by x
100=219.22222222222*x       - we divide both sides of the equation by (219.22222222222) to get x
100/219.22222222222=x
0.45615813482007=x
x=0.45615813482007

now we have:
18 is 0.45615813482007% of 3946