42.1 is what percent of 352.2 - 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 352.2 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 352.2, so we can write it down as 100%=352.2.
4. We know, that x% equals 42.1 of the output value, so we can write it down as x%=42.1.
5. Now we have two simple equations:
1) 100%=352.2
2) x%=42.1
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%=352.2/42.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.1 is what percent of 352.2

100%/x%=352.2/42.1
(100/x)*x=(352.2/42.1)*x       - we multiply both sides of the equation by x
100=8.3657957244656*x       - we divide both sides of the equation by (8.3657957244656) to get x
100/8.3657957244656=x
11.953435547984=x
x=11.953435547984

now we have:
42.1 is 11.953435547984% of 352.2