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Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2008
Goodwill, gross, beginning balance $ 5,959.5 $ 5,935.7  
Acquisitions and adjustments 846.6 119.9  
Currency translation (23.0) (96.1)  
Goodwill, gross, ending balance 6,783.1 5,959.5  
Goodwill 6,783.1 5,959.5  
Goodwill, Impairment Loss     $ 2,496.0
Climate [Member]      
Goodwill, gross, beginning balance 5,099.2 5,065.1  
Acquisitions and adjustments 45.3 118.1  
Currency translation (18.8) (84.0)  
Goodwill, gross, ending balance 5,125.7 5,099.2  
Industrial [Member]      
Goodwill, gross, beginning balance 860.3 870.6  
Acquisitions and adjustments 801.3 1.8  
Currency translation (4.2) (12.1)  
Goodwill, gross, ending balance $ 1,657.4 $ 860.3