25 is what percent of 38965 - 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 38965 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 38965, so we can write it down as 100%=38965.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=38965
2) x%=25
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%=38965/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 38965

100%/x%=38965/25
(100/x)*x=(38965/25)*x       - we multiply both sides of the equation by x
100=1558.6*x       - we divide both sides of the equation by (1558.6) to get x
100/1558.6=x
0.064160143718722=x
x=0.064160143718722

now we have:
25 is 0.064160143718722% of 38965