365.5 is what percent of 1920 - 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 1920 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 1920, so we can write it down as 100%=1920.
4. We know, that x% equals 365.5 of the output value, so we can write it down as x%=365.5.
5. Now we have two simple equations:
1) 100%=1920
2) x%=365.5
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%=1920/365.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.5 is what percent of 1920

100%/x%=1920/365.5
(100/x)*x=(1920/365.5)*x       - we multiply both sides of the equation by x
100=5.2530779753762*x       - we divide both sides of the equation by (5.2530779753762) to get x
100/5.2530779753762=x
19.036458333333=x
x=19.036458333333

now we have:
365.5 is 19.036458333333% of 1920