13.82 is what 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 100% equals 360, so we can write it down as 100%=360.
4. We know, that x% equals 13.82 of the output value, so we can write it down as x%=13.82.
5. Now we have two simple equations:
1) 100%=360
2) x%=13.82
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:
100%/x%=360/13.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.82 is what percent of 360

100%/x%=360/13.82
(100/x)*x=(360/13.82)*x       - we multiply both sides of the equation by x
100=26.049204052098*x       - we divide both sides of the equation by (26.049204052098) to get x
100/26.049204052098=x
3.8388888888889=x
x=3.8388888888889

now we have:
13.82 is 3.8388888888889% of 360