32.2 is what percent of 39.4 - 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 39.4 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 39.4, so we can write it down as 100%=39.4.
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%=39.4
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%=39.4/32.2
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 39.4

100%/x%=39.4/32.2
(100/x)*x=(39.4/32.2)*x       - we multiply both sides of the equation by x
100=1.223602484472*x       - we divide both sides of the equation by (1.223602484472) to get x
100/1.223602484472=x
81.725888324873=x
x=81.725888324873

now we have:
32.2 is 81.725888324873% of 39.4