144.36 is what percent of 304.16 - 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 304.16 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 304.16, so we can write it down as 100%=304.16.
4. We know, that x% equals 144.36 of the output value, so we can write it down as x%=144.36.
5. Now we have two simple equations:
1) 100%=304.16
2) x%=144.36
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%=304.16/144.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.36 is what percent of 304.16

100%/x%=304.16/144.36
(100/x)*x=(304.16/144.36)*x       - we multiply both sides of the equation by x
100=2.1069548351344*x       - we divide both sides of the equation by (2.1069548351344) to get x
100/2.1069548351344=x
47.461862177801=x
x=47.461862177801

now we have:
144.36 is 47.461862177801% of 304.16