30.8 is what percent of 130.1 - 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 130.1 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 130.1, so we can write it down as 100%=130.1.
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%=130.1
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%=130.1/30.8
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 130.1

100%/x%=130.1/30.8
(100/x)*x=(130.1/30.8)*x       - we multiply both sides of the equation by x
100=4.224025974026*x       - we divide both sides of the equation by (4.224025974026) to get x
100/4.224025974026=x
23.674096848578=x
x=23.674096848578

now we have:
30.8 is 23.674096848578% of 130.1