What is 16.6667 percent of 40 - 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 40 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 40 is 100%, so we can write it down as 40=100%.
4. We know, that x is 16.6667% of the output value, so we can write it down as x=16.6667%.
5. Now we have two simple equations:
1) 40=100%
2) x=16.6667%
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:
40/x=100%/16.6667%
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 16.6667% of 40

40/x=100/16.6667
(40/x)*x=(100/16.6667)*x       - we multiply both sides of the equation by x
40=5.999988000024*x       - we divide both sides of the equation by (5.999988000024) to get x
40/5.999988000024=x
6.66668=x
x=6.66668

now we have:
16.6667% of 40=6.66668