What is 24.49 percent of 11.378 - 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 11.378 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 11.378 is 100%, so we can write it down as 11.378=100%.
4. We know, that x is 24.49% of the output value, so we can write it down as x=24.49%.
5. Now we have two simple equations:
1) 11.378=100%
2) x=24.49%
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:
11.378/x=100%/24.49%
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 24.49% of 11.378

11.378/x=100/24.49
(11.378/x)*x=(100/24.49)*x       - we multiply both sides of the equation by x
11.378=4.0832993058391*x       - we divide both sides of the equation by (4.0832993058391) to get x
11.378/4.0832993058391=x
2.7864722=x
x=2.7864722

now we have:
24.49% of 11.378=2.7864722