36.72 is what percent of 218.93 - 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 218.93 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 218.93, so we can write it down as 100%=218.93.
4. We know, that x% equals 36.72 of the output value, so we can write it down as x%=36.72.
5. Now we have two simple equations:
1) 100%=218.93
2) x%=36.72
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%=218.93/36.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.72 is what percent of 218.93

100%/x%=218.93/36.72
(100/x)*x=(218.93/36.72)*x       - we multiply both sides of the equation by x
100=5.9621459694989*x       - we divide both sides of the equation by (5.9621459694989) to get x
100/5.9621459694989=x
16.77248435573=x
x=16.77248435573

now we have:
36.72 is 16.77248435573% of 218.93