What is 38.2 percent of 2.2 - 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 2.2 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 2.2 is 100%, so we can write it down as 2.2=100%.
4. We know, that x is 38.2% of the output value, so we can write it down as x=38.2%.
5. Now we have two simple equations:
1) 2.2=100%
2) x=38.2%
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:
2.2/x=100%/38.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 38.2% of 2.2

2.2/x=100/38.2
(2.2/x)*x=(100/38.2)*x       - we multiply both sides of the equation by x
2.2=2.6178010471204*x       - we divide both sides of the equation by (2.6178010471204) to get x
2.2/2.6178010471204=x
0.8404=x
x=0.8404

now we have:
38.2% of 2.2=0.8404