108.08 is what percent of 324.8 - 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 324.8 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 324.8, so we can write it down as 100%=324.8.
4. We know, that x% equals 108.08 of the output value, so we can write it down as x%=108.08.
5. Now we have two simple equations:
1) 100%=324.8
2) x%=108.08
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%=324.8/108.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.08 is what percent of 324.8

100%/x%=324.8/108.08
(100/x)*x=(324.8/108.08)*x       - we multiply both sides of the equation by x
100=3.0051813471503*x       - we divide both sides of the equation by (3.0051813471503) to get x
100/3.0051813471503=x
33.275862068966=x
x=33.275862068966

now we have:
108.08 is 33.275862068966% of 324.8