477.95 is what percent of 4808 - 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 4808 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 4808, so we can write it down as 100%=4808.
4. We know, that x% equals 477.95 of the output value, so we can write it down as x%=477.95.
5. Now we have two simple equations:
1) 100%=4808
2) x%=477.95
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:
100%/x%=4808/477.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 477.95 is what percent of 4808

100%/x%=4808/477.95
(100/x)*x=(4808/477.95)*x       - we multiply both sides of the equation by x
100=10.059629668375*x       - we divide both sides of the equation by (10.059629668375) to get x
100/10.059629668375=x
9.9407237936772=x
x=9.9407237936772

now we have:
477.95 is 9.9407237936772% of 4808