What is 14.85 percent of 506.55 - 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 506.55 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 506.55 is 100%, so we can write it down as 506.55=100%.
4. We know, that x is 14.85% of the output value, so we can write it down as x=14.85%.
5. Now we have two simple equations:
1) 506.55=100%
2) x=14.85%
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:
506.55/x=100%/14.85%
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 14.85% of 506.55

506.55/x=100/14.85
(506.55/x)*x=(100/14.85)*x       - we multiply both sides of the equation by x
506.55=6.7340067340067*x       - we divide both sides of the equation by (6.7340067340067) to get x
506.55/6.7340067340067=x
75.222675=x
x=75.222675

now we have:
14.85% of 506.55=75.222675