9.2 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 9.2 of the output value, so we can write it down as x%=9.2.
5. Now we have two simple equations:
1) 100%=200.8
2) x%=9.2
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%=200.8/9.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.2 is what percent of 200.8

100%/x%=200.8/9.2
(100/x)*x=(200.8/9.2)*x       - we multiply both sides of the equation by x
100=21.826086956522*x       - we divide both sides of the equation by (21.826086956522) to get x
100/21.826086956522=x
4.5816733067729=x
x=4.5816733067729

now we have:
9.2 is 4.5816733067729% of 200.8