What is 6.83 percent of 178.6 - 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 178.6 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 178.6 is 100%, so we can write it down as 178.6=100%.
4. We know, that x is 6.83% of the output value, so we can write it down as x=6.83%.
5. Now we have two simple equations:
1) 178.6=100%
2) x=6.83%
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:
178.6/x=100%/6.83%
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 6.83% of 178.6

178.6/x=100/6.83
(178.6/x)*x=(100/6.83)*x       - we multiply both sides of the equation by x
178.6=14.641288433382*x       - we divide both sides of the equation by (14.641288433382) to get x
178.6/14.641288433382=x
12.19838=x
x=12.19838

now we have:
6.83% of 178.6=12.19838