What is 28.4 percent of 42.2 - 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 42.2 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 42.2 is 100%, so we can write it down as 42.2=100%.
4. We know, that x is 28.4% of the output value, so we can write it down as x=28.4%.
5. Now we have two simple equations:
1) 42.2=100%
2) x=28.4%
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:
42.2/x=100%/28.4%
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 28.4% of 42.2

42.2/x=100/28.4
(42.2/x)*x=(100/28.4)*x       - we multiply both sides of the equation by x
42.2=3.5211267605634*x       - we divide both sides of the equation by (3.5211267605634) to get x
42.2/3.5211267605634=x
11.9848=x
x=11.9848

now we have:
28.4% of 42.2=11.9848