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Commitments and Contingencies (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Extended Product Warranty Accrual, Current $ 103.1 $ 107.3  
Reserves for environmental matters $ 42.6 41.2  
Maximum annual inflation rate 2.50%    
Minimum annual inflation rate 1.00%    
Percentage of non-malignant claims, minimum 73.00%    
Total rental expense $ 200.6 261.3 $ 241.8
Minimum lease payments, due in current year   197.1  
Minimum lease payments, due in second year   152.0  
Minimum lease payments, due in third year   107.4  
Minimum lease payments, due in fourth year   68.4  
Minimum lease payments, due in fifth year   42.2  
Segment, Discontinued Operations [Member]      
Reserves for environmental matters 37.5 36.1  
Asbestos Issue [Member]      
Total Asset For Probable Asbestos Related Insurance Recoveries 304.0 268.2  
Asbestos Issue [Member] | IR New Jersey [Member]      
Total Asset For Probable Asbestos Related Insurance Recoveries 188.7 141.7  
Asbestos Issue [Member] | Trane [Member]      
Total Asset For Probable Asbestos Related Insurance Recoveries $ 115.3 $ 126.5