496.3 is what percent of 477.82 - 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 477.82 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 477.82, so we can write it down as 100%=477.82.
4. We know, that x% equals 496.3 of the output value, so we can write it down as x%=496.3.
5. Now we have two simple equations:
1) 100%=477.82
2) x%=496.3
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%=477.82/496.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 496.3 is what percent of 477.82

100%/x%=477.82/496.3
(100/x)*x=(477.82/496.3)*x       - we multiply both sides of the equation by x
100=0.96276445698166*x       - we divide both sides of the equation by (0.96276445698166) to get x
100/0.96276445698166=x
103.86756519191=x
x=103.86756519191

now we have:
496.3 is 103.86756519191% of 477.82