475.76 is what percent of 495 - 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 495 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 495, so we can write it down as 100%=495.
4. We know, that x% equals 475.76 of the output value, so we can write it down as x%=475.76.
5. Now we have two simple equations:
1) 100%=495
2) x%=475.76
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%=495/475.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 475.76 is what percent of 495

100%/x%=495/475.76
(100/x)*x=(495/475.76)*x       - we multiply both sides of the equation by x
100=1.0404405582647*x       - we divide both sides of the equation by (1.0404405582647) to get x
100/1.0404405582647=x
96.113131313131=x
x=96.113131313131

now we have:
475.76 is 96.113131313131% of 495