What is 4.1666666666667 percent of 365 - 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 365 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 365 is 100%, so we can write it down as 365=100%.
4. We know, that x is 4.1666666666667% of the output value, so we can write it down as x=4.1666666666667%.
5. Now we have two simple equations:
1) 365=100%
2) x=4.1666666666667%
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:
365/x=100%/4.1666666666667%
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 4.1666666666667% of 365

365/x=100/4.1666666666667
(365/x)*x=(100/4.1666666666667)*x       - we multiply both sides of the equation by x
365=24*x       - we divide both sides of the equation by (24) to get x
365/24=x
15.208333333333=x
x=15.208333333333

now we have:
4.1666666666667% of 365=15.208333333333