300.16 is what percent of 392 - 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 392 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 392, so we can write it down as 100%=392.
4. We know, that x% equals 300.16 of the output value, so we can write it down as x%=300.16.
5. Now we have two simple equations:
1) 100%=392
2) x%=300.16
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%=392/300.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.16 is what percent of 392

100%/x%=392/300.16
(100/x)*x=(392/300.16)*x       - we multiply both sides of the equation by x
100=1.3059701492537*x       - we divide both sides of the equation by (1.3059701492537) to get x
100/1.3059701492537=x
76.571428571429=x
x=76.571428571429

now we have:
300.16 is 76.571428571429% of 392