22 is what percent of 3968 - 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 3968 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 3968, so we can write it down as 100%=3968.
4. We know, that x% equals 22 of the output value, so we can write it down as x%=22.
5. Now we have two simple equations:
1) 100%=3968
2) x%=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%=3968/22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22 is what percent of 3968

100%/x%=3968/22
(100/x)*x=(3968/22)*x       - we multiply both sides of the equation by x
100=180.36363636364*x       - we divide both sides of the equation by (180.36363636364) to get x
100/180.36363636364=x
0.55443548387097=x
x=0.55443548387097

now we have:
22 is 0.55443548387097% of 3968