What is 16.67 percent of 405.8 - 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 405.8 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 405.8 is 100%, so we can write it down as 405.8=100%.
4. We know, that x is 16.67% of the output value, so we can write it down as x=16.67%.
5. Now we have two simple equations:
1) 405.8=100%
2) x=16.67%
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:
405.8/x=100%/16.67%
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 16.67% of 405.8

405.8/x=100/16.67
(405.8/x)*x=(100/16.67)*x       - we multiply both sides of the equation by x
405.8=5.998800239952*x       - we divide both sides of the equation by (5.998800239952) to get x
405.8/5.998800239952=x
67.64686=x
x=67.64686

now we have:
16.67% of 405.8=67.64686