24487.5 is what percent of 49950 - 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 49950 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 49950, so we can write it down as 100%=49950.
4. We know, that x% equals 24487.5 of the output value, so we can write it down as x%=24487.5.
5. Now we have two simple equations:
1) 100%=49950
2) x%=24487.5
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%=49950/24487.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24487.5 is what percent of 49950

100%/x%=49950/24487.5
(100/x)*x=(49950/24487.5)*x       - we multiply both sides of the equation by x
100=2.0398162327718*x       - we divide both sides of the equation by (2.0398162327718) to get x
100/2.0398162327718=x
49.024024024024=x
x=49.024024024024

now we have:
24487.5 is 49.024024024024% of 49950