What is 28 percent of 38.4 - 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 38.4 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 38.4 is 100%, so we can write it down as 38.4=100%.
4. We know, that x is 28% of the output value, so we can write it down as x=28%.
5. Now we have two simple equations:
1) 38.4=100%
2) x=28%
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:
38.4/x=100%/28%
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% of 38.4

38.4/x=100/28
(38.4/x)*x=(100/28)*x       - we multiply both sides of the equation by x
38.4=3.5714285714286*x       - we divide both sides of the equation by (3.5714285714286) to get x
38.4/3.5714285714286=x
10.752=x
x=10.752

now we have:
28% of 38.4=10.752