What is 49.92 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 49.92% of the output value, so we can write it down as x=49.92%.
5. Now we have two simple equations:
1) 360=100%
2) x=49.92%
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%/49.92%
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 49.92% of 360

360/x=100/49.92
(360/x)*x=(100/49.92)*x       - we multiply both sides of the equation by x
360=2.0032051282051*x       - we divide both sides of the equation by (2.0032051282051) to get x
360/2.0032051282051=x
179.712=x
x=179.712

now we have:
49.92% of 360=179.712