36.6 is what percent of 200.4 - 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 200.4 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 200.4, so we can write it down as 100%=200.4.
4. We know, that x% equals 36.6 of the output value, so we can write it down as x%=36.6.
5. Now we have two simple equations:
1) 100%=200.4
2) x%=36.6
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%=200.4/36.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.6 is what percent of 200.4

100%/x%=200.4/36.6
(100/x)*x=(200.4/36.6)*x       - we multiply both sides of the equation by x
100=5.4754098360656*x       - we divide both sides of the equation by (5.4754098360656) to get x
100/5.4754098360656=x
18.263473053892=x
x=18.263473053892

now we have:
36.6 is 18.263473053892% of 200.4