42.23 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 42.23 of the output value, so we can write it down as x%=42.23.
5. Now we have two simple equations:
1) 100%=360
2) x%=42.23
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%=360/42.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.23 is what percent of 360

100%/x%=360/42.23
(100/x)*x=(360/42.23)*x       - we multiply both sides of the equation by x
100=8.5247454416292*x       - we divide both sides of the equation by (8.5247454416292) to get x
100/8.5247454416292=x
11.730555555556=x
x=11.730555555556

now we have:
42.23 is 11.730555555556% of 360