What is 16.666666 percent of 85.8125 - 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 85.8125 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 85.8125 is 100%, so we can write it down as 85.8125=100%.
4. We know, that x is 16.666666% of the output value, so we can write it down as x=16.666666%.
5. Now we have two simple equations:
1) 85.8125=100%
2) x=16.666666%
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:
85.8125/x=100%/16.666666%
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 16.666666% of 85.8125

85.8125/x=100/16.666666
(85.8125/x)*x=(100/16.666666)*x       - we multiply both sides of the equation by x
85.8125=6.00000024*x       - we divide both sides of the equation by (6.00000024) to get x
85.8125/6.00000024=x
14.30208276125=x
x=14.30208276125

now we have:
16.666666% of 85.8125=14.30208276125