What is 28.87 percent of 38.79 - 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 38.79 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 38.79 is 100%, so we can write it down as 38.79=100%.
4. We know, that x is 28.87% of the output value, so we can write it down as x=28.87%.
5. Now we have two simple equations:
1) 38.79=100%
2) x=28.87%
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:
38.79/x=100%/28.87%
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 28.87% of 38.79

38.79/x=100/28.87
(38.79/x)*x=(100/28.87)*x       - we multiply both sides of the equation by x
38.79=3.4638032559751*x       - we divide both sides of the equation by (3.4638032559751) to get x
38.79/3.4638032559751=x
11.198673=x
x=11.198673

now we have:
28.87% of 38.79=11.198673