What is 16.666666667 percent of 66.7 - 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 66.7 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 66.7 is 100%, so we can write it down as 66.7=100%.
4. We know, that x is 16.666666667% of the output value, so we can write it down as x=16.666666667%.
5. Now we have two simple equations:
1) 66.7=100%
2) x=16.666666667%
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:
66.7/x=100%/16.666666667%
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 16.666666667% of 66.7

66.7/x=100/16.666666667
(66.7/x)*x=(100/16.666666667)*x       - we multiply both sides of the equation by x
66.7=5.99999999988*x       - we divide both sides of the equation by (5.99999999988) to get x
66.7/5.99999999988=x
11.116666666889=x
x=11.116666666889

now we have:
16.666666667% of 66.7=11.116666666889