365.44 is what percent of 1939.2 - 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 1939.2 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 1939.2, so we can write it down as 100%=1939.2.
4. We know, that x% equals 365.44 of the output value, so we can write it down as x%=365.44.
5. Now we have two simple equations:
1) 100%=1939.2
2) x%=365.44
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%=1939.2/365.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.44 is what percent of 1939.2

100%/x%=1939.2/365.44
(100/x)*x=(1939.2/365.44)*x       - we multiply both sides of the equation by x
100=5.3064798598949*x       - we divide both sides of the equation by (5.3064798598949) to get x
100/5.3064798598949=x
18.844884488449=x
x=18.844884488449

now we have:
365.44 is 18.844884488449% of 1939.2