36.96 is what percent of 205.21 - 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 205.21 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 205.21, so we can write it down as 100%=205.21.
4. We know, that x% equals 36.96 of the output value, so we can write it down as x%=36.96.
5. Now we have two simple equations:
1) 100%=205.21
2) x%=36.96
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%=205.21/36.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.96 is what percent of 205.21

100%/x%=205.21/36.96
(100/x)*x=(205.21/36.96)*x       - we multiply both sides of the equation by x
100=5.5522186147186*x       - we divide both sides of the equation by (5.5522186147186) to get x
100/5.5522186147186=x
18.010818186248=x
x=18.010818186248

now we have:
36.96 is 18.010818186248% of 205.21