404.5 is what percent of 457 - 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 457 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 457, so we can write it down as 100%=457.
4. We know, that x% equals 404.5 of the output value, so we can write it down as x%=404.5.
5. Now we have two simple equations:
1) 100%=457
2) x%=404.5
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%=457/404.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 404.5 is what percent of 457

100%/x%=457/404.5
(100/x)*x=(457/404.5)*x       - we multiply both sides of the equation by x
100=1.1297898640297*x       - we divide both sides of the equation by (1.1297898640297) to get x
100/1.1297898640297=x
88.512035010941=x
x=88.512035010941

now we have:
404.5 is 88.512035010941% of 457