0.22 is what percent of 8.06 - 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 8.06 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 8.06, so we can write it down as 100%=8.06.
4. We know, that x% equals 0.22 of the output value, so we can write it down as x%=0.22.
5. Now we have two simple equations:
1) 100%=8.06
2) x%=0.22
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%=8.06/0.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.22 is what percent of 8.06

100%/x%=8.06/0.22
(100/x)*x=(8.06/0.22)*x       - we multiply both sides of the equation by x
100=36.636363636364*x       - we divide both sides of the equation by (36.636363636364) to get x
100/36.636363636364=x
2.7295285359801=x
x=2.7295285359801

now we have:
0.22 is 2.7295285359801% of 8.06