449.04 is what percent of 474.91 - 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 474.91 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 474.91, so we can write it down as 100%=474.91.
4. We know, that x% equals 449.04 of the output value, so we can write it down as x%=449.04.
5. Now we have two simple equations:
1) 100%=474.91
2) x%=449.04
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%=474.91/449.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 449.04 is what percent of 474.91

100%/x%=474.91/449.04
(100/x)*x=(474.91/449.04)*x       - we multiply both sides of the equation by x
100=1.0576117940495*x       - we divide both sides of the equation by (1.0576117940495) to get x
100/1.0576117940495=x
94.552652081447=x
x=94.552652081447

now we have:
449.04 is 94.552652081447% of 474.91