36.6 is what percent of 220.1 - 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 220.1 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 220.1, so we can write it down as 100%=220.1.
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%=220.1
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%=220.1/36.6
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 220.1

100%/x%=220.1/36.6
(100/x)*x=(220.1/36.6)*x       - we multiply both sides of the equation by x
100=6.0136612021858*x       - we divide both sides of the equation by (6.0136612021858) to get x
100/6.0136612021858=x
16.628805088596=x
x=16.628805088596

now we have:
36.6 is 16.628805088596% of 220.1