42.16 is what percent of 131.16 - 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 131.16 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 131.16, so we can write it down as 100%=131.16.
4. We know, that x% equals 42.16 of the output value, so we can write it down as x%=42.16.
5. Now we have two simple equations:
1) 100%=131.16
2) x%=42.16
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%=131.16/42.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.16 is what percent of 131.16

100%/x%=131.16/42.16
(100/x)*x=(131.16/42.16)*x       - we multiply both sides of the equation by x
100=3.1110056925996*x       - we divide both sides of the equation by (3.1110056925996) to get x
100/3.1110056925996=x
32.143946325099=x
x=32.143946325099

now we have:
42.16 is 32.143946325099% of 131.16