What is 21.8 percent of 38.2 - 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 38.2 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 38.2 is 100%, so we can write it down as 38.2=100%.
4. We know, that x is 21.8% of the output value, so we can write it down as x=21.8%.
5. Now we have two simple equations:
1) 38.2=100%
2) x=21.8%
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:
38.2/x=100%/21.8%
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 21.8% of 38.2

38.2/x=100/21.8
(38.2/x)*x=(100/21.8)*x       - we multiply both sides of the equation by x
38.2=4.5871559633028*x       - we divide both sides of the equation by (4.5871559633028) to get x
38.2/4.5871559633028=x
8.3276=x
x=8.3276

now we have:
21.8% of 38.2=8.3276