30.1 is what percent of 148.2 - 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 148.2 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 148.2, so we can write it down as 100%=148.2.
4. We know, that x% equals 30.1 of the output value, so we can write it down as x%=30.1.
5. Now we have two simple equations:
1) 100%=148.2
2) x%=30.1
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%=148.2/30.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.1 is what percent of 148.2

100%/x%=148.2/30.1
(100/x)*x=(148.2/30.1)*x       - we multiply both sides of the equation by x
100=4.9235880398671*x       - we divide both sides of the equation by (4.9235880398671) to get x
100/4.9235880398671=x
20.310391363023=x
x=20.310391363023

now we have:
30.1 is 20.310391363023% of 148.2