How Do You Go About Finding A Sponsor?

Qui-Gonn Jew asks: "A group of us were designing a robot for BattleBots, and [managed to get to the] building stage when our sponsor dropped us. So now we need to find a new sponsor that will fund us the money to finish and enter the 'Bot for next season. Any suggestions on how/who to ask? We are willing to completely cover our bot with a company logo." There are always people willing to look for sponsors to underwrite a portion of their costs whether they are entering a contest, battling robots, or driving a race car. Even .ORGs need sponsors every once in a while. What's the best way to go about finding sponsors in such situations? Hopefully, a few of you out there have different ideas that might not have been touched on the last time around.