What is 16.875 percent of 66.37 - 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 66.37 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 66.37 is 100%, so we can write it down as 66.37=100%.
4. We know, that x is 16.875% of the output value, so we can write it down as x=16.875%.
5. Now we have two simple equations:
1) 66.37=100%
2) x=16.875%
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:
66.37/x=100%/16.875%
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 16.875% of 66.37

66.37/x=100/16.875
(66.37/x)*x=(100/16.875)*x       - we multiply both sides of the equation by x
66.37=5.9259259259259*x       - we divide both sides of the equation by (5.9259259259259) to get x
66.37/5.9259259259259=x
11.1999375=x
x=11.1999375

now we have:
16.875% of 66.37=11.1999375