38.57 is what percent of 2507 - 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 2507 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 2507, so we can write it down as 100%=2507.
4. We know, that x% equals 38.57 of the output value, so we can write it down as x%=38.57.
5. Now we have two simple equations:
1) 100%=2507
2) x%=38.57
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%=2507/38.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.57 is what percent of 2507

100%/x%=2507/38.57
(100/x)*x=(2507/38.57)*x       - we multiply both sides of the equation by x
100=64.998703655691*x       - we divide both sides of the equation by (64.998703655691) to get x
100/64.998703655691=x
1.538492221779=x
x=1.538492221779

now we have:
38.57 is 1.538492221779% of 2507