310.25 is what percent of 392.5 - 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 392.5 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 392.5, so we can write it down as 100%=392.5.
4. We know, that x% equals 310.25 of the output value, so we can write it down as x%=310.25.
5. Now we have two simple equations:
1) 100%=392.5
2) x%=310.25
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%=392.5/310.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.25 is what percent of 392.5

100%/x%=392.5/310.25
(100/x)*x=(392.5/310.25)*x       - we multiply both sides of the equation by x
100=1.2651087832393*x       - we divide both sides of the equation by (1.2651087832393) to get x
100/1.2651087832393=x
79.044585987261=x
x=79.044585987261

now we have:
310.25 is 79.044585987261% of 392.5