162.16 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 162.16 of the output value, so we can write it down as x%=162.16.
5. Now we have two simple equations:
1) 100%=360
2) x%=162.16
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%=360/162.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.16 is what percent of 360

100%/x%=360/162.16
(100/x)*x=(360/162.16)*x       - we multiply both sides of the equation by x
100=2.2200296003947*x       - we divide both sides of the equation by (2.2200296003947) to get x
100/2.2200296003947=x
45.044444444444=x
x=45.044444444444

now we have:
162.16 is 45.044444444444% of 360