What is 16.66666 percent of 64 - 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 64 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 64 is 100%, so we can write it down as 64=100%.
4. We know, that x is 16.66666% of the output value, so we can write it down as x=16.66666%.
5. Now we have two simple equations:
1) 64=100%
2) x=16.66666%
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:
64/x=100%/16.66666%
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 16.66666% of 64

64/x=100/16.66666
(64/x)*x=(100/16.66666)*x       - we multiply both sides of the equation by x
64=6.000002400001*x       - we divide both sides of the equation by (6.000002400001) to get x
64/6.000002400001=x
10.6666624=x
x=10.6666624

now we have:
16.66666% of 64=10.6666624