13237.5 is what percent of 33600 - 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 33600 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 33600, so we can write it down as 100%=33600.
4. We know, that x% equals 13237.5 of the output value, so we can write it down as x%=13237.5.
5. Now we have two simple equations:
1) 100%=33600
2) x%=13237.5
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%=33600/13237.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13237.5 is what percent of 33600

100%/x%=33600/13237.5
(100/x)*x=(33600/13237.5)*x       - we multiply both sides of the equation by x
100=2.5382436260623*x       - we divide both sides of the equation by (2.5382436260623) to get x
100/2.5382436260623=x
39.397321428571=x
x=39.397321428571

now we have:
13237.5 is 39.397321428571% of 33600