50.8 is what percent of 200.8 - 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 200.8 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 200.8, so we can write it down as 100%=200.8.
4. We know, that x% equals 50.8 of the output value, so we can write it down as x%=50.8.
5. Now we have two simple equations:
1) 100%=200.8
2) x%=50.8
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%=200.8/50.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.8 is what percent of 200.8

100%/x%=200.8/50.8
(100/x)*x=(200.8/50.8)*x       - we multiply both sides of the equation by x
100=3.9527559055118*x       - we divide both sides of the equation by (3.9527559055118) to get x
100/3.9527559055118=x
25.298804780876=x
x=25.298804780876

now we have:
50.8 is 25.298804780876% of 200.8