What is 7.875 percent of 6004.85 - 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 6004.85 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 6004.85 is 100%, so we can write it down as 6004.85=100%.
4. We know, that x is 7.875% of the output value, so we can write it down as x=7.875%.
5. Now we have two simple equations:
1) 6004.85=100%
2) x=7.875%
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:
6004.85/x=100%/7.875%
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 7.875% of 6004.85

6004.85/x=100/7.875
(6004.85/x)*x=(100/7.875)*x       - we multiply both sides of the equation by x
6004.85=12.698412698413*x       - we divide both sides of the equation by (12.698412698413) to get x
6004.85/12.698412698413=x
472.8819375=x
x=472.8819375

now we have:
7.875% of 6004.85=472.8819375