25.38 is what percent of 107.57 - 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 107.57 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 107.57, so we can write it down as 100%=107.57.
4. We know, that x% equals 25.38 of the output value, so we can write it down as x%=25.38.
5. Now we have two simple equations:
1) 100%=107.57
2) x%=25.38
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%=107.57/25.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.38 is what percent of 107.57

100%/x%=107.57/25.38
(100/x)*x=(107.57/25.38)*x       - we multiply both sides of the equation by x
100=4.2383766745469*x       - we divide both sides of the equation by (4.2383766745469) to get x
100/4.2383766745469=x
23.593938830529=x
x=23.593938830529

now we have:
25.38 is 23.593938830529% of 107.57