30.8 is what percent of 140.4 - 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 140.4 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 140.4, so we can write it down as 100%=140.4.
4. We know, that x% equals 30.8 of the output value, so we can write it down as x%=30.8.
5. Now we have two simple equations:
1) 100%=140.4
2) x%=30.8
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%=140.4/30.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.8 is what percent of 140.4

100%/x%=140.4/30.8
(100/x)*x=(140.4/30.8)*x       - we multiply both sides of the equation by x
100=4.5584415584416*x       - we divide both sides of the equation by (4.5584415584416) to get x
100/4.5584415584416=x
21.937321937322=x
x=21.937321937322

now we have:
30.8 is 21.937321937322% of 140.4