457.25 is what percent of 485 - 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 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, so we can write it down as 100%=485.
4. We know, that x% equals 457.25 of the output value, so we can write it down as x%=457.25.
5. Now we have two simple equations:
1) 100%=485
2) x%=457.25
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%=485/457.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 457.25 is what percent of 485

100%/x%=485/457.25
(100/x)*x=(485/457.25)*x       - we multiply both sides of the equation by x
100=1.0606889010388*x       - we divide both sides of the equation by (1.0606889010388) to get x
100/1.0606889010388=x
94.278350515464=x
x=94.278350515464

now we have:
457.25 is 94.278350515464% of 485