What is 28.47 percent of 37.38 - 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 37.38 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 37.38 is 100%, so we can write it down as 37.38=100%.
4. We know, that x is 28.47% of the output value, so we can write it down as x=28.47%.
5. Now we have two simple equations:
1) 37.38=100%
2) x=28.47%
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:
37.38/x=100%/28.47%
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 28.47% of 37.38

37.38/x=100/28.47
(37.38/x)*x=(100/28.47)*x       - we multiply both sides of the equation by x
37.38=3.5124692658939*x       - we divide both sides of the equation by (3.5124692658939) to get x
37.38/3.5124692658939=x
10.642086=x
x=10.642086

now we have:
28.47% of 37.38=10.642086