36.2 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 36.2 of the output value, so we can write it down as x%=36.2.
5. Now we have two simple equations:
1) 100%=360
2) x%=36.2
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%=360/36.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.2 is what percent of 360

100%/x%=360/36.2
(100/x)*x=(360/36.2)*x       - we multiply both sides of the equation by x
100=9.9447513812155*x       - we divide both sides of the equation by (9.9447513812155) to get x
100/9.9447513812155=x
10.055555555556=x
x=10.055555555556

now we have:
36.2 is 10.055555555556% of 360