440.36 is what percent of 2304 - 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 2304 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 2304, so we can write it down as 100%=2304.
4. We know, that x% equals 440.36 of the output value, so we can write it down as x%=440.36.
5. Now we have two simple equations:
1) 100%=2304
2) x%=440.36
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%=2304/440.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 440.36 is what percent of 2304

100%/x%=2304/440.36
(100/x)*x=(2304/440.36)*x       - we multiply both sides of the equation by x
100=5.2320828413117*x       - we divide both sides of the equation by (5.2320828413117) to get x
100/5.2320828413117=x
19.112847222222=x
x=19.112847222222

now we have:
440.36 is 19.112847222222% of 2304