What is 62 percent of 16.6666666667 - 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 16.6666666667 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 16.6666666667 is 100%, so we can write it down as 16.6666666667=100%.
4. We know, that x is 62% of the output value, so we can write it down as x=62%.
5. Now we have two simple equations:
1) 16.6666666667=100%
2) x=62%
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:
16.6666666667/x=100%/62%
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 62% of 16.6666666667

16.6666666667/x=100/62
(16.6666666667/x)*x=(100/62)*x       - we multiply both sides of the equation by x
16.6666666667=1.6129032258065*x       - we divide both sides of the equation by (1.6129032258065) to get x
16.6666666667/1.6129032258065=x
10.333333333354=x
x=10.333333333354

now we have:
62% of 16.6666666667=10.333333333354