30.5 is what percent of 122.9 - 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 122.9 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 122.9, so we can write it down as 100%=122.9.
4. We know, that x% equals 30.5 of the output value, so we can write it down as x%=30.5.
5. Now we have two simple equations:
1) 100%=122.9
2) x%=30.5
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%=122.9/30.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.5 is what percent of 122.9

100%/x%=122.9/30.5
(100/x)*x=(122.9/30.5)*x       - we multiply both sides of the equation by x
100=4.0295081967213*x       - we divide both sides of the equation by (4.0295081967213) to get x
100/4.0295081967213=x
24.816924328723=x
x=24.816924328723

now we have:
30.5 is 24.816924328723% of 122.9