What is 16.6666666 percent of 420 - 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 420 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 420 is 100%, so we can write it down as 420=100%.
4. We know, that x is 16.6666666% of the output value, so we can write it down as x=16.6666666%.
5. Now we have two simple equations:
1) 420=100%
2) x=16.6666666%
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:
420/x=100%/16.6666666%
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 16.6666666% of 420

420/x=100/16.6666666
(420/x)*x=(100/16.6666666)*x       - we multiply both sides of the equation by x
420=6.000000024*x       - we divide both sides of the equation by (6.000000024) to get x
420/6.000000024=x
69.99999972=x
x=69.99999972

now we have:
16.6666666% of 420=69.99999972