108.4 is what percent of 336.4 - 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 336.4 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 336.4, so we can write it down as 100%=336.4.
4. We know, that x% equals 108.4 of the output value, so we can write it down as x%=108.4.
5. Now we have two simple equations:
1) 100%=336.4
2) x%=108.4
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%=336.4/108.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.4 is what percent of 336.4

100%/x%=336.4/108.4
(100/x)*x=(336.4/108.4)*x       - we multiply both sides of the equation by x
100=3.1033210332103*x       - we divide both sides of the equation by (3.1033210332103) to get x
100/3.1033210332103=x
32.223543400713=x
x=32.223543400713

now we have:
108.4 is 32.223543400713% of 336.4