200.4 is what percent of 7871.2 - 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 7871.2 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 7871.2, so we can write it down as 100%=7871.2.
4. We know, that x% equals 200.4 of the output value, so we can write it down as x%=200.4.
5. Now we have two simple equations:
1) 100%=7871.2
2) x%=200.4
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%=7871.2/200.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200.4 is what percent of 7871.2

100%/x%=7871.2/200.4
(100/x)*x=(7871.2/200.4)*x       - we multiply both sides of the equation by x
100=39.27744510978*x       - we divide both sides of the equation by (39.27744510978) to get x
100/39.27744510978=x
2.5459904461836=x
x=2.5459904461836

now we have:
200.4 is 2.5459904461836% of 7871.2