365.95 is what percent of 2440 - 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 2440 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 2440, so we can write it down as 100%=2440.
4. We know, that x% equals 365.95 of the output value, so we can write it down as x%=365.95.
5. Now we have two simple equations:
1) 100%=2440
2) x%=365.95
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%=2440/365.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.95 is what percent of 2440

100%/x%=2440/365.95
(100/x)*x=(2440/365.95)*x       - we multiply both sides of the equation by x
100=6.667577537915*x       - we divide both sides of the equation by (6.667577537915) to get x
100/6.667577537915=x
14.997950819672=x
x=14.997950819672

now we have:
365.95 is 14.997950819672% of 2440