That's a fairly common thing to do though. "My IQ is 200, but I don't believe in IQ tests. By the way did I mention my IQ was 200?"
(Joking aside, I think you conveyed it pretty well, though I have no real clue what a GRE score of nearly 20 years ago means relatively speaking, or how you can convert it into a measure of intelligence at all...)
I could create a conversion calculator and it'd still be pretty meaningless. I just don't really understand how you can draw a direct comparison - it's not like the tests are that similar, although there is some overlap, and even using percentile of people taking the GRE is presumably pandering slightly to the fact it's a self-selecting audience and therefore not necessarily a bell curve, etc. I don't know, perhaps there are real proper studies on this to satisfy the lack of real science that's niggling me here, but given the grey area of 'measuring intelligence' I don't know how well-founded any of those are either.
Add to that the fact that things change as you age - I scored jolly well on an IQ test when I was 14, which gives me a nice score to slap down posturing pseudo-intellectual guys who like to compare mental dicksize at parties, but I'm well aware that I'd score nowhere near that now. I don't know. As I say, I think you brought it up well, I just don't quite see the relevance.
(Weirdly, though, converting the GRE score I got when I was 21 on that calculator results in almost exactly the IQ score I got when I was 14; perhaps there is something to it..!)
2340 on the calculator puts you at the 100th percentile, and at about 2100 on the pre-95 SAT (which only went up to 1600). You sure this has the right version of the score?
(Joking aside, I think you conveyed it pretty well, though I have no real clue what a GRE score of nearly 20 years ago means relatively speaking, or how you can convert it into a measure of intelligence at all...)