32.2 is what percent of 237.8 - 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 237.8 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 237.8, so we can write it down as 100%=237.8.
4. We know, that x% equals 32.2 of the output value, so we can write it down as x%=32.2.
5. Now we have two simple equations:
1) 100%=237.8
2) x%=32.2
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%=237.8/32.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.2 is what percent of 237.8

100%/x%=237.8/32.2
(100/x)*x=(237.8/32.2)*x       - we multiply both sides of the equation by x
100=7.3850931677019*x       - we divide both sides of the equation by (7.3850931677019) to get x
100/7.3850931677019=x
13.54079058032=x
x=13.54079058032

now we have:
32.2 is 13.54079058032% of 237.8