In Detective Comics #27,when he first appears courtesy of Bill Finger and Bob Kane, Batman isn't really Batman just yet. He's the Shadow with a different set of clothes. Over the course of that first year, and you can see the pieces start to fall into plot that would stay there for the next seven decades,forming the foundation of the Batman that we still have nowadays --- and in Detective Comics #38, released March 5th 1940, and the final piece of the puzzle appears when we're introduced to Dick Grayson,better known as Robin, the Boy Wonder.
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Source: comicsalliance.com