304.42 is what percent of 2308.56 - 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 2308.56 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 2308.56, so we can write it down as 100%=2308.56.
4. We know, that x% equals 304.42 of the output value, so we can write it down as x%=304.42.
5. Now we have two simple equations:
1) 100%=2308.56
2) x%=304.42
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%=2308.56/304.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 304.42 is what percent of 2308.56

100%/x%=2308.56/304.42
(100/x)*x=(2308.56/304.42)*x       - we multiply both sides of the equation by x
100=7.5834702056369*x       - we divide both sides of the equation by (7.5834702056369) to get x
100/7.5834702056369=x
13.186575181065=x
x=13.186575181065

now we have:
304.42 is 13.186575181065% of 2308.56