What is 7.6428571428571 percent of 168.84 - 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 168.84 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 168.84 is 100%, so we can write it down as 168.84=100%.
4. We know, that x is 7.6428571428571% of the output value, so we can write it down as x=7.6428571428571%.
5. Now we have two simple equations:
1) 168.84=100%
2) x=7.6428571428571%
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:
168.84/x=100%/7.6428571428571%
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 7.6428571428571% of 168.84

168.84/x=100/7.6428571428571
(168.84/x)*x=(100/7.6428571428571)*x       - we multiply both sides of the equation by x
168.84=13.084112149533*x       - we divide both sides of the equation by (13.084112149533) to get x
168.84/13.084112149533=x
12.9042=x
x=12.9042

now we have:
7.6428571428571% of 168.84=12.9042