What is 11.7777 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 11.7777% of the output value, so we can write it down as x=11.7777%.
5. Now we have two simple equations:
1) 365=100%
2) x=11.7777%
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%/11.7777%
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 11.7777% of 365

365/x=100/11.7777
(365/x)*x=(100/11.7777)*x       - we multiply both sides of the equation by x
365=8.4906221078818*x       - we divide both sides of the equation by (8.4906221078818) to get x
365/8.4906221078818=x
42.988605=x
x=42.988605

now we have:
11.7777% of 365=42.988605