331.4 is what percent of 3808 - 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 3808 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 3808, so we can write it down as 100%=3808.
4. We know, that x% equals 331.4 of the output value, so we can write it down as x%=331.4.
5. Now we have two simple equations:
1) 100%=3808
2) x%=331.4
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%=3808/331.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 331.4 is what percent of 3808

100%/x%=3808/331.4
(100/x)*x=(3808/331.4)*x       - we multiply both sides of the equation by x
100=11.490645745323*x       - we divide both sides of the equation by (11.490645745323) to get x
100/11.490645745323=x
8.702731092437=x
x=8.702731092437

now we have:
331.4 is 8.702731092437% of 3808