77.47 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 77.47 of the output value, so we can write it down as x%=77.47.
5. Now we have two simple equations:
1) 100%=480
2) x%=77.47
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%=480/77.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.47 is what percent of 480

100%/x%=480/77.47
(100/x)*x=(480/77.47)*x       - we multiply both sides of the equation by x
100=6.1959468181231*x       - we divide both sides of the equation by (6.1959468181231) to get x
100/6.1959468181231=x
16.139583333333=x
x=16.139583333333

now we have:
77.47 is 16.139583333333% of 480