40.2 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 40.2 of the output value, so we can write it down as x%=40.2.
5. Now we have two simple equations:
1) 100%=304
2) x%=40.2
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%=304/40.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.2 is what percent of 304

100%/x%=304/40.2
(100/x)*x=(304/40.2)*x       - we multiply both sides of the equation by x
100=7.5621890547264*x       - we divide both sides of the equation by (7.5621890547264) to get x
100/7.5621890547264=x
13.223684210526=x
x=13.223684210526

now we have:
40.2 is 13.223684210526% of 304