What is 3.15 percent of 416.666 - 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 416.666 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 416.666 is 100%, so we can write it down as 416.666=100%.
4. We know, that x is 3.15% of the output value, so we can write it down as x=3.15%.
5. Now we have two simple equations:
1) 416.666=100%
2) x=3.15%
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:
416.666/x=100%/3.15%
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 3.15% of 416.666

416.666/x=100/3.15
(416.666/x)*x=(100/3.15)*x       - we multiply both sides of the equation by x
416.666=31.746031746032*x       - we divide both sides of the equation by (31.746031746032) to get x
416.666/31.746031746032=x
13.124979=x
x=13.124979

now we have:
3.15% of 416.666=13.124979