When I joined Yahoo a decade ago, for example, I ended up accepting an offer 40% over the top of the advertised range, after demanding more. When they gave me the 40% offer, they apologised that they really couldn't go higher (it'd push me too far up over some other people in the department) and offered me more options instead, and guaranteed me a review after 6 months instead of 12 to bump me up further (which they did).
I've never taken a job at only 5%-10% above initial offer, and don't think I ever will - I know from my own hiring that we're always prepared to stretch more than that if we've first decided on a candidate.
After several rounds of interviews, they actually came back with an offer for much higher (they did ask me how much I am expecting to get paid before making the offer). I countered back and definitely got a salary offer that was certainly way more than 50% of the original intended offer and about 30% more than the actual offer they actually ended up making in their initial pitch.
Plus, unless you want the job very badly, it (usually) doesn't hurt to ask.
The particular case I mentioned was complicated because: a) the initial offer was knowingly less than I currently made; b) I previously worked for the parent company of the company making the offer and the offer was the same salary grade and almost the same salary I had when I left 2.5 years before. I'm not sure I would have tried to negotiate even if I thought I could get them up 30% - 40%.
Do people really counter with salaries that are 50% higher than the initial offer? Maybe it is just the nature of the employers I have dealt with in the past, but I have always felt anything in excess of the 5% - 10% range just meant that you and the company were too far off in expectations for a deal to work. In fact, a few months ago I rejected a seriously lowball offer where the difference was similar to the numbers you posted; I didn't even bother to counter. Is it really common to get companies to move by double-digit percentages on initial offers?
Edit: I should point out that people at this company had already told me how hard it was to find qualified people. There were plenty of other indications that they could not afford to be throwing away candidates.