200.8 is what percent of 250 - 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 250 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 250, so we can write it down as 100%=250.
4. We know, that x% equals 200.8 of the output value, so we can write it down as x%=200.8.
5. Now we have two simple equations:
1) 100%=250
2) x%=200.8
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%=250/200.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200.8 is what percent of 250

100%/x%=250/200.8
(100/x)*x=(250/200.8)*x       - we multiply both sides of the equation by x
100=1.2450199203187*x       - we divide both sides of the equation by (1.2450199203187) to get x
100/1.2450199203187=x
80.32=x
x=80.32

now we have:
200.8 is 80.32% of 250