4.8 is what percent of 130.9 - 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 130.9 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 130.9, so we can write it down as 100%=130.9.
4. We know, that x% equals 4.8 of the output value, so we can write it down as x%=4.8.
5. Now we have two simple equations:
1) 100%=130.9
2) x%=4.8
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%=130.9/4.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.8 is what percent of 130.9

100%/x%=130.9/4.8
(100/x)*x=(130.9/4.8)*x       - we multiply both sides of the equation by x
100=27.270833333333*x       - we divide both sides of the equation by (27.270833333333) to get x
100/27.270833333333=x
3.6669213139801=x
x=3.6669213139801

now we have:
4.8 is 3.6669213139801% of 130.9