25.08 is what percent of 480.22 - 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 480.22 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 480.22, so we can write it down as 100%=480.22.
4. We know, that x% equals 25.08 of the output value, so we can write it down as x%=25.08.
5. Now we have two simple equations:
1) 100%=480.22
2) x%=25.08
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%=480.22/25.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.08 is what percent of 480.22

100%/x%=480.22/25.08
(100/x)*x=(480.22/25.08)*x       - we multiply both sides of the equation by x
100=19.147527910686*x       - we divide both sides of the equation by (19.147527910686) to get x
100/19.147527910686=x
5.2226063054433=x
x=5.2226063054433

now we have:
25.08 is 5.2226063054433% of 480.22