Out of 25000 students figure out the percent of 3700, how would i do that?

1. We assume, that the number 25000 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 25000, so we can write it down as 100%=25000. 
4. We know, that x% equals 3700 of the output value, so we can write it down as x%=3700. 
5. Now we have two simple equations:
1) 100%=25000
2) x%=3700
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%=25000/3700
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3700 is what percent of 25000

100%/x%=25000/3700
(100/x)*x=(25000/3700)*x       - we multiply both sides of the equation by x
100=6.75675675676*x       - we divide both sides of the equation by (6.75675675676) to get x
100/6.75675675676=x 
14.8=x 
x=14.8

now we have: 
3700 is 14.8% of 25000

3,700 is 14.8% of 25,000