32.2 is what percent of 150 - 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 150 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 150, so we can write it down as 100%=150.
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%=150
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%=150/32.2
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 150

100%/x%=150/32.2
(100/x)*x=(150/32.2)*x       - we multiply both sides of the equation by x
100=4.6583850931677*x       - we divide both sides of the equation by (4.6583850931677) to get x
100/4.6583850931677=x
21.466666666667=x
x=21.466666666667

now we have:
32.2 is 21.466666666667% of 150