471.76 is what percent of 499.5 - 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 499.5 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 499.5, so we can write it down as 100%=499.5.
4. We know, that x% equals 471.76 of the output value, so we can write it down as x%=471.76.
5. Now we have two simple equations:
1) 100%=499.5
2) x%=471.76
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%=499.5/471.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 471.76 is what percent of 499.5

100%/x%=499.5/471.76
(100/x)*x=(499.5/471.76)*x       - we multiply both sides of the equation by x
100=1.0588010852976*x       - we divide both sides of the equation by (1.0588010852976) to get x
100/1.0588010852976=x
94.446446446446=x
x=94.446446446446

now we have:
471.76 is 94.446446446446% of 499.5