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Restructuring Costs (Details) - USD ($)
$ in Millions
6 Months Ended
Jun. 30, 2018
Jun. 30, 2017
Dec. 31, 2017
Restructuring Cost and Reserve [Line Items]      
Restructuring Reserve, Current $ 42.1   $ 16.0
Restructuring and Related Cost, Incurred Cost 51.5 $ 38.2  
Restructuring and Related Cost, Incurred Cost excluding asset realization 47.4    
Payments for Restructuring (21.3)    
cost of goods sold [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring and Related Cost, Incurred Cost 39.0 32.6  
selling and administrative expenses [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring and Related Cost, Incurred Cost 12.5 5.6  
Climate      
Restructuring Cost and Reserve [Line Items]      
Restructuring Reserve, Current 6.0   7.4
Restructuring and Related Cost, Incurred Cost 8.1 29.8  
Restructuring and Related Cost, Incurred Cost excluding asset realization 8.1    
Payments for Restructuring 9.5    
Industrial      
Restructuring Cost and Reserve [Line Items]      
Restructuring Reserve, Current 33.8   6.1
Restructuring and Related Cost, Incurred Cost 37.2 8.1  
Restructuring and Related Cost, Incurred Cost excluding asset realization 33.1    
Payments for Restructuring 5.4    
Corporate and Other [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring Reserve, Current 2.3   $ 2.5
Restructuring and Related Cost, Incurred Cost 6.2 $ 0.3  
Restructuring and Related Cost, Incurred Cost excluding asset realization 6.2    
Payments for Restructuring $ 6.4