42.2 is what percent of 325.5 - 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 325.5 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 325.5, so we can write it down as 100%=325.5.
4. We know, that x% equals 42.2 of the output value, so we can write it down as x%=42.2.
5. Now we have two simple equations:
1) 100%=325.5
2) x%=42.2
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%=325.5/42.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.2 is what percent of 325.5

100%/x%=325.5/42.2
(100/x)*x=(325.5/42.2)*x       - we multiply both sides of the equation by x
100=7.7132701421801*x       - we divide both sides of the equation by (7.7132701421801) to get x
100/7.7132701421801=x
12.964669738863=x
x=12.964669738863

now we have:
42.2 is 12.964669738863% of 325.5