I can't decide whether the Gm chords in the verses sound better as Bb major chords 
- either work, but I've included the minor version since I think that's what's 
going on in the original.

FI (133211@1)taught you how to dance 
AmI (x02210@1)taught you how to swing
GmI (355333@1)took you by the hand
Fand (133211@1)pulled you gently in

FI (133211@1)taught you how to shimmy
AmI (x02210@1)taught you how to boogie
Gmyou (355333@1)crossed the dancefloor to me
Fand (133211@1)stepped upon my toes

FWe (133211@1)were simply grooving
Amthe (x02210@1)hipsters started laughing
Gmthe (355333@1)way that we were moving 
Fa (133211@1)little out of time

FI (133211@1)taught your pretty feet
Amhow (x02210@1)to find the offbeat
Gmwe (355333@1)were sweating from the heat
FI (133211@1)felt it on your back

Gma (355333@1)little hesitation
Cyou (x32010@1)brushed your hips on mine
Dma (xx0231@1)little too much wine  
Bb (x1333x@1)    C (x32010@1)    DmI (xx0231@1)held on all night
Bb (x1333x@1)    C (x32010@1)    Fyou (133211@1)held on all night

FI (133211@1)taught you how to sing
Amover (x02210@1)in my room
Gmyou (355333@1)were tuning in 
Fand (133211@1)raising the roof

Fthe (133211@1)melody went higher
Ama (x02210@1)major to a minor
Gm (355333@1)people would remind us
Fwe (133211@1)bewitched the room

Gma (355333@1)little hesitation
Cyou (x32010@1)brushed your lips on mine
Dma (xx0231@1)little too much wine
Gm (355333@1)    C (x32010@1)    DmI (xx0231@1)held on all night
Bb (x1333x@1)    C (x32010@1)    Fyou (133211@1)held on all night
Bb (x1333x@1)    C (x32010@1)    DmI (xx0231@1)held on all night
Bb (x1333x@1)    C (x32010@1)    Fyou (133211@1)held on all night