144.86 is what percent of 304 - 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 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, so we can write it down as 100%=304.
4. We know, that x% equals 144.86 of the output value, so we can write it down as x%=144.86.
5. Now we have two simple equations:
1) 100%=304
2) x%=144.86
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%=304/144.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.86 is what percent of 304

100%/x%=304/144.86
(100/x)*x=(304/144.86)*x       - we multiply both sides of the equation by x
100=2.0985779373188*x       - we divide both sides of the equation by (2.0985779373188) to get x
100/2.0985779373188=x
47.651315789474=x
x=47.651315789474

now we have:
144.86 is 47.651315789474% of 304