278.1 is what percent of 480.5 - 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 480.5 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 480.5, so we can write it down as 100%=480.5.
4. We know, that x% equals 278.1 of the output value, so we can write it down as x%=278.1.
5. Now we have two simple equations:
1) 100%=480.5
2) x%=278.1
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%=480.5/278.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 278.1 is what percent of 480.5

100%/x%=480.5/278.1
(100/x)*x=(480.5/278.1)*x       - we multiply both sides of the equation by x
100=1.727795756922*x       - we divide both sides of the equation by (1.727795756922) to get x
100/1.727795756922=x
57.877211238293=x
x=57.877211238293

now we have:
278.1 is 57.877211238293% of 480.5