What is 16.666666 percent of 112.1875 - 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 112.1875 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 112.1875 is 100%, so we can write it down as 112.1875=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) 112.1875=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:
112.1875/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 112.1875

112.1875/x=100/16.666666
(112.1875/x)*x=(100/16.666666)*x       - we multiply both sides of the equation by x
112.1875=6.00000024*x       - we divide both sides of the equation by (6.00000024) to get x
112.1875/6.00000024=x
18.69791591875=x
x=18.69791591875

now we have:
16.666666% of 112.1875=18.69791591875