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There's a flaw in your example. The highest that 115% of the midpoint can be is the high of the range. If you're above that then the midpoint must be adjusted. Since these seem to be set salary ranges for positions, I would assume that the only option once you hit the high is to move up if you want to make more.
I once worked with someone who was making the most she could within her position, so I know it happens.
Oops, I just reread and saw the "iterative" and after that I'm not really sure what you're trying to say. They have a range, it has a midpoint, you can't go over the high of the range. This stands.
Actually, 115% of the midpoint CAN be good (but a little iterative...). Example:
Lowest salary is 100, highest is 120, midpoint 110, 115% of that would be 126.5 - so the highest salary would be 126.5, midpoint 113.25, 115% of that would be 130.2375...
You should end up at about 135.29
[exactly (0.575/0.425)x(lowest)]