What is 40.82 percent of 29.55 - 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 29.55 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 29.55 is 100%, so we can write it down as 29.55=100%.
4. We know, that x is 40.82% of the output value, so we can write it down as x=40.82%.
5. Now we have two simple equations:
1) 29.55=100%
2) x=40.82%
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:
29.55/x=100%/40.82%
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 40.82% of 29.55

29.55/x=100/40.82
(29.55/x)*x=(100/40.82)*x       - we multiply both sides of the equation by x
29.55=2.4497795198432*x       - we divide both sides of the equation by (2.4497795198432) to get x
29.55/2.4497795198432=x
12.06231=x
x=12.06231

now we have:
40.82% of 29.55=12.06231