FWIW, in response to @JohnRStrom, that's not quite accurate.
Many groups used a variety of standards to determine who "really" won in Florida in 2000. Some counts using some standards showed Bush, but other counts using other standards showed Gore had, in fact, won. Sometimes the margins either way were in the hundreds or low thousands. In one case, it was Gore by 3. Not three thousand or three hundred. Three votes.
Considering that there is no such thing as a national standard, but an accumulation of votes as regulated by smaller groups of decision makers, it seems to me that we should count by whatever the rules are for the area that is being counted.
In that particular case, a review of all ballots statewide according to the standard as set by each county canvassing board during their survey: Gore by 171
Factoring in the Butterfly Ballot errors*, and the overvotes (that were tossed from the count) where people voted for Gore twice because the ballot said "Write in vote" as opposed to "Write-in vote" **, and many other factors - including the count above - it's easy to see why many people would dispute your simplified assertion that Bush won Florida.
*: Poor ballot layout design in a hugely Democratic voting area caused confusion and led some people that thought they were voting for Gore to instead vote for third-party candidate Pat Buchanan in numbers large enough to eclipse any victory margin of either Bush or Gore in any recounts. Pat Buchanan picked up 3,704 votes in Palm Beach County (where the Butterfly Ballot was used), which was roughly 2700 more than he picked up anywhere else in the state, including where his headquarters was located. Given Mr. Buchanan's positions and the demography of people in that area, some were horrified to learn that they might have voted for him accidentally. Even Buchanan himself stated openly that he didn't earn that many votes in that area.
**: Some people misunderstood that that was a space provided to add a vote for an unlisted candidate and instead thought it was an explicit instruction to also write in the candidate's name. In those cases, many voters both selected Gore on the ballot and also wrote in his name below, resulting in an "overvote", rather than counting as a vote for the candidate that they clearly chose.