What is 7.95 percent of 480.1 - 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 480.1 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 480.1 is 100%, so we can write it down as 480.1=100%.
4. We know, that x is 7.95% of the output value, so we can write it down as x=7.95%.
5. Now we have two simple equations:
1) 480.1=100%
2) x=7.95%
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:
480.1/x=100%/7.95%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 7.95% of 480.1

480.1/x=100/7.95
(480.1/x)*x=(100/7.95)*x       - we multiply both sides of the equation by x
480.1=12.578616352201*x       - we divide both sides of the equation by (12.578616352201) to get x
480.1/12.578616352201=x
38.16795=x
x=38.16795

now we have:
7.95% of 480.1=38.16795