What is 28.33 percent of 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 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 38 is 100%, so we can write it down as 38=100%.
4. We know, that x is 28.33% of the output value, so we can write it down as x=28.33%.
5. Now we have two simple equations:
1) 38=100%
2) x=28.33%
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/x=100%/28.33%
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 28.33% of 38

38/x=100/28.33
(38/x)*x=(100/28.33)*x       - we multiply both sides of the equation by x
38=3.5298270384751*x       - we divide both sides of the equation by (3.5298270384751) to get x
38/3.5298270384751=x
10.7654=x
x=10.7654

now we have:
28.33% of 38=10.7654