What is 6.666666667 percent of 394.8 - 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 394.8 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 394.8 is 100%, so we can write it down as 394.8=100%.
4. We know, that x is 6.666666667% of the output value, so we can write it down as x=6.666666667%.
5. Now we have two simple equations:
1) 394.8=100%
2) x=6.666666667%
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:
394.8/x=100%/6.666666667%
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 6.666666667% of 394.8

394.8/x=100/6.666666667
(394.8/x)*x=(100/6.666666667)*x       - we multiply both sides of the equation by x
394.8=14.99999999925*x       - we divide both sides of the equation by (14.99999999925) to get x
394.8/14.99999999925=x
26.320000001316=x
x=26.320000001316

now we have:
6.666666667% of 394.8=26.320000001316