What is 20.49 percent of 115.84 - 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 115.84 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 115.84 is 100%, so we can write it down as 115.84=100%.
4. We know, that x is 20.49% of the output value, so we can write it down as x=20.49%.
5. Now we have two simple equations:
1) 115.84=100%
2) x=20.49%
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:
115.84/x=100%/20.49%
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 20.49% of 115.84

115.84/x=100/20.49
(115.84/x)*x=(100/20.49)*x       - we multiply both sides of the equation by x
115.84=4.880429477794*x       - we divide both sides of the equation by (4.880429477794) to get x
115.84/4.880429477794=x
23.735616=x
x=23.735616

now we have:
20.49% of 115.84=23.735616