42.8 is what percent of 309.36 - 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 309.36 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 309.36, so we can write it down as 100%=309.36.
4. We know, that x% equals 42.8 of the output value, so we can write it down as x%=42.8.
5. Now we have two simple equations:
1) 100%=309.36
2) x%=42.8
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%=309.36/42.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.8 is what percent of 309.36

100%/x%=309.36/42.8
(100/x)*x=(309.36/42.8)*x       - we multiply both sides of the equation by x
100=7.2280373831776*x       - we divide both sides of the equation by (7.2280373831776) to get x
100/7.2280373831776=x
13.835014222912=x
x=13.835014222912

now we have:
42.8 is 13.835014222912% of 309.36