42.2 is what percent of 32 - 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 32 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 32, so we can write it down as 100%=32.
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%=32
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%=32/42.2
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 32

100%/x%=32/42.2
(100/x)*x=(32/42.2)*x       - we multiply both sides of the equation by x
100=0.75829383886256*x       - we divide both sides of the equation by (0.75829383886256) to get x
100/0.75829383886256=x
131.875=x
x=131.875

now we have:
42.2 is 131.875% of 32