32.22 is what percent of 39.85 - 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 39.85 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 39.85, so we can write it down as 100%=39.85.
4. We know, that x% equals 32.22 of the output value, so we can write it down as x%=32.22.
5. Now we have two simple equations:
1) 100%=39.85
2) x%=32.22
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%=39.85/32.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.22 is what percent of 39.85

100%/x%=39.85/32.22
(100/x)*x=(39.85/32.22)*x       - we multiply both sides of the equation by x
100=1.2368094351335*x       - we divide both sides of the equation by (1.2368094351335) to get x
100/1.2368094351335=x
80.853199498118=x
x=80.853199498118

now we have:
32.22 is 80.853199498118% of 39.85