419.2 is what percent of 480 - 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 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, so we can write it down as 100%=480.
4. We know, that x% equals 419.2 of the output value, so we can write it down as x%=419.2.
5. Now we have two simple equations:
1) 100%=480
2) x%=419.2
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%=480/419.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 419.2 is what percent of 480

100%/x%=480/419.2
(100/x)*x=(480/419.2)*x       - we multiply both sides of the equation by x
100=1.1450381679389*x       - we divide both sides of the equation by (1.1450381679389) to get x
100/1.1450381679389=x
87.333333333333=x
x=87.333333333333

now we have:
419.2 is 87.333333333333% of 480