What is 11.11 percent of 366 - 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 366 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 366 is 100%, so we can write it down as 366=100%.
4. We know, that x is 11.11% of the output value, so we can write it down as x=11.11%.
5. Now we have two simple equations:
1) 366=100%
2) x=11.11%
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:
366/x=100%/11.11%
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 11.11% of 366

366/x=100/11.11
(366/x)*x=(100/11.11)*x       - we multiply both sides of the equation by x
366=9.000900090009*x       - we divide both sides of the equation by (9.000900090009) to get x
366/9.000900090009=x
40.6626=x
x=40.6626

now we have:
11.11% of 366=40.6626