238.95 is what percent of 480.72 - 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 480.72 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 480.72, so we can write it down as 100%=480.72.
4. We know, that x% equals 238.95 of the output value, so we can write it down as x%=238.95.
5. Now we have two simple equations:
1) 100%=480.72
2) x%=238.95
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%=480.72/238.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 238.95 is what percent of 480.72

100%/x%=480.72/238.95
(100/x)*x=(480.72/238.95)*x       - we multiply both sides of the equation by x
100=2.0118016321406*x       - we divide both sides of the equation by (2.0118016321406) to get x
100/2.0118016321406=x
49.706689965052=x
x=49.706689965052

now we have:
238.95 is 49.706689965052% of 480.72