449.4 is what percent of 485.88 - 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 485.88 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 485.88, so we can write it down as 100%=485.88.
4. We know, that x% equals 449.4 of the output value, so we can write it down as x%=449.4.
5. Now we have two simple equations:
1) 100%=485.88
2) x%=449.4
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%=485.88/449.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 449.4 is what percent of 485.88

100%/x%=485.88/449.4
(100/x)*x=(485.88/449.4)*x       - we multiply both sides of the equation by x
100=1.0811748998665*x       - we divide both sides of the equation by (1.0811748998665) to get x
100/1.0811748998665=x
92.491973326747=x
x=92.491973326747

now we have:
449.4 is 92.491973326747% of 485.88