25981.25 is what percent of 49797.25 - 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 49797.25 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 49797.25, so we can write it down as 100%=49797.25.
4. We know, that x% equals 25981.25 of the output value, so we can write it down as x%=25981.25.
5. Now we have two simple equations:
1) 100%=49797.25
2) x%=25981.25
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%=49797.25/25981.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25981.25 is what percent of 49797.25

100%/x%=49797.25/25981.25
(100/x)*x=(49797.25/25981.25)*x       - we multiply both sides of the equation by x
100=1.9166610536445*x       - we divide both sides of the equation by (1.9166610536445) to get x
100/1.9166610536445=x
52.174065836969=x
x=52.174065836969

now we have:
25981.25 is 52.174065836969% of 49797.25