311.02 is what percent of 3900 - 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 3900 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 3900, so we can write it down as 100%=3900.
4. We know, that x% equals 311.02 of the output value, so we can write it down as x%=311.02.
5. Now we have two simple equations:
1) 100%=3900
2) x%=311.02
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%=3900/311.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311.02 is what percent of 3900

100%/x%=3900/311.02
(100/x)*x=(3900/311.02)*x       - we multiply both sides of the equation by x
100=12.539386534628*x       - we divide both sides of the equation by (12.539386534628) to get x
100/12.539386534628=x
7.9748717948718=x
x=7.9748717948718

now we have:
311.02 is 7.9748717948718% of 3900