120.55 is what percent of 398 - 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 398 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 398, so we can write it down as 100%=398.
4. We know, that x% equals 120.55 of the output value, so we can write it down as x%=120.55.
5. Now we have two simple equations:
1) 100%=398
2) x%=120.55
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%=398/120.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.55 is what percent of 398

100%/x%=398/120.55
(100/x)*x=(398/120.55)*x       - we multiply both sides of the equation by x
100=3.3015346329324*x       - we divide both sides of the equation by (3.3015346329324) to get x
100/3.3015346329324=x
30.288944723618=x
x=30.288944723618

now we have:
120.55 is 30.288944723618% of 398