6.4 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 6.4 of the output value, so we can write it down as x%=6.4.
5. Now we have two simple equations:
1) 100%=200.8
2) x%=6.4
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%=200.8/6.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.4 is what percent of 200.8

100%/x%=200.8/6.4
(100/x)*x=(200.8/6.4)*x       - we multiply both sides of the equation by x
100=31.375*x       - we divide both sides of the equation by (31.375) to get x
100/31.375=x
3.1872509960159=x
x=3.1872509960159

now we have:
6.4 is 3.1872509960159% of 200.8