8 is what percent of 319.1 - 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 319.1 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 319.1, so we can write it down as 100%=319.1.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=319.1
2) x%=8
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%=319.1/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 319.1

100%/x%=319.1/8
(100/x)*x=(319.1/8)*x       - we multiply both sides of the equation by x
100=39.8875*x       - we divide both sides of the equation by (39.8875) to get x
100/39.8875=x
2.5070510811658=x
x=2.5070510811658

now we have:
8 is 2.5070510811658% of 319.1