406.5 is what percent of 458 - 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 458 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 458, so we can write it down as 100%=458.
4. We know, that x% equals 406.5 of the output value, so we can write it down as x%=406.5.
5. Now we have two simple equations:
1) 100%=458
2) x%=406.5
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%=458/406.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 406.5 is what percent of 458

100%/x%=458/406.5
(100/x)*x=(458/406.5)*x       - we multiply both sides of the equation by x
100=1.1266912669127*x       - we divide both sides of the equation by (1.1266912669127) to get x
100/1.1266912669127=x
88.755458515284=x
x=88.755458515284

now we have:
406.5 is 88.755458515284% of 458