Stephen Colbert, David Letterman Stephen Colbert, David Letterman

Stephen Colbert, the heir to the Late Show throne, stopped by the CBS late-night show Tuesday to talk about his upcoming gig and to thank his predecessor, David Letterman.

"You look right at home," Letterman told his guest. "Obviously I'm thrilled and honored to be taking over for you," Colbert said.  

Stephen Colbert breaks silence on Late Show takeover

Colbert will officially take over as host after Letterman retires in 2015. Check out this photo of the two from Colbert's visit:

And check out highlights from Colbert's appearance below:

Late Show with David Letterman airs at 11:35/10:35c on CBS. Will you watch Colbert's appearance?

(Full disclosure: is owned by CBS.)