455.04 is what percent of 481.66 - 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 481.66 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 481.66, so we can write it down as 100%=481.66.
4. We know, that x% equals 455.04 of the output value, so we can write it down as x%=455.04.
5. Now we have two simple equations:
1) 100%=481.66
2) x%=455.04
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%=481.66/455.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 455.04 is what percent of 481.66

100%/x%=481.66/455.04
(100/x)*x=(481.66/455.04)*x       - we multiply both sides of the equation by x
100=1.0585003516174*x       - we divide both sides of the equation by (1.0585003516174) to get x
100/1.0585003516174=x
94.473279906988=x
x=94.473279906988

now we have:
455.04 is 94.473279906988% of 481.66