It looks like Al Franken lost his senate race by about 300 votes, out of about 3 million. or about 1/10,000th of the electorate. The state appears to have a recount rule that triggers at 1/2 pecent (or 1/200th, roughly 50 times greater than the tally difference!), and recounts have overturned results in the past, most recently I'm thinking of the Senate race in Washington in 2000. Of course there was another recount epic fail in that election year that I think everyone remembers.
Update: AP is saying the margin is about 800 votes, but that's still very much within the roughly 15,000 vote margin required to avoid an automatic recount.