200.2 is what percent of 412 - 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 412 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 412, so we can write it down as 100%=412.
4. We know, that x% equals 200.2 of the output value, so we can write it down as x%=200.2.
5. Now we have two simple equations:
1) 100%=412
2) x%=200.2
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%=412/200.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200.2 is what percent of 412

100%/x%=412/200.2
(100/x)*x=(412/200.2)*x       - we multiply both sides of the equation by x
100=2.0579420579421*x       - we divide both sides of the equation by (2.0579420579421) to get x
100/2.0579420579421=x
48.592233009709=x
x=48.592233009709

now we have:
200.2 is 48.592233009709% of 412