What is 16.09 percent of 360 - 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 360 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 360 is 100%, so we can write it down as 360=100%.
4. We know, that x is 16.09% of the output value, so we can write it down as x=16.09%.
5. Now we have two simple equations:
1) 360=100%
2) x=16.09%
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:
360/x=100%/16.09%
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 16.09% of 360

360/x=100/16.09
(360/x)*x=(100/16.09)*x       - we multiply both sides of the equation by x
360=6.2150403977626*x       - we divide both sides of the equation by (6.2150403977626) to get x
360/6.2150403977626=x
57.924=x
x=57.924

now we have:
16.09% of 360=57.924