4.8 is what percent of 40.2 - 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 40.2 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 40.2, so we can write it down as 100%=40.2.
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%=40.2
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%=40.2/4.8
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 40.2

100%/x%=40.2/4.8
(100/x)*x=(40.2/4.8)*x       - we multiply both sides of the equation by x
100=8.375*x       - we divide both sides of the equation by (8.375) to get x
100/8.375=x
11.940298507463=x
x=11.940298507463

now we have:
4.8 is 11.940298507463% of 40.2