36.67 is what percent of 220 - 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 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, so we can write it down as 100%=220.
4. We know, that x% equals 36.67 of the output value, so we can write it down as x%=36.67.
5. Now we have two simple equations:
1) 100%=220
2) x%=36.67
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%=220/36.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.67 is what percent of 220

100%/x%=220/36.67
(100/x)*x=(220/36.67)*x       - we multiply both sides of the equation by x
100=5.9994545950368*x       - we divide both sides of the equation by (5.9994545950368) to get x
100/5.9994545950368=x
16.668181818182=x
x=16.668181818182

now we have:
36.67 is 16.668181818182% of 220