476.96 is what percent of 996 - 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 996 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 996, so we can write it down as 100%=996.
4. We know, that x% equals 476.96 of the output value, so we can write it down as x%=476.96.
5. Now we have two simple equations:
1) 100%=996
2) x%=476.96
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%=996/476.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 476.96 is what percent of 996

100%/x%=996/476.96
(100/x)*x=(996/476.96)*x       - we multiply both sides of the equation by x
100=2.0882254277088*x       - we divide both sides of the equation by (2.0882254277088) to get x
100/2.0882254277088=x
47.887550200803=x
x=47.887550200803

now we have:
476.96 is 47.887550200803% of 996