3.22 is what percent of 38.22 - 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 38.22 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 38.22, so we can write it down as 100%=38.22.
4. We know, that x% equals 3.22 of the output value, so we can write it down as x%=3.22.
5. Now we have two simple equations:
1) 100%=38.22
2) x%=3.22
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%=38.22/3.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.22 is what percent of 38.22

100%/x%=38.22/3.22
(100/x)*x=(38.22/3.22)*x       - we multiply both sides of the equation by x
100=11.869565217391*x       - we divide both sides of the equation by (11.869565217391) to get x
100/11.869565217391=x
8.4249084249084=x
x=8.4249084249084

now we have:
3.22 is 8.4249084249084% of 38.22