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Revenue Disaggregation of Revenue (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Disaggregation of Revenue [Line Items]      
Revenue, Remaining Performance Obligation, Percentage 32.00%    
Revenue from Contract with Customer, Excluding Assessed Tax $ 16,598.9 $ 15,668.2 $ 14,197.6
Transferred at Point in Time [Member]      
Disaggregation of Revenue [Line Items]      
Revenue, Remaining Performance Obligation, Percentage 85.00% 84.00%  
Climate [Member]      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer, Excluding Assessed Tax $ 13,075.9 $ 12,343.8 11,167.5
Climate [Member] | UnitedStates [Member]      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer, Excluding Assessed Tax 9,143.5 8,285.4  
Climate [Member] | Non United States [Member]      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer, Excluding Assessed Tax 3,932.4 4,058.4  
Climate [Member] | Equipment Sales [Member]      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer, Excluding Assessed Tax 8,968.1 8,425.6  
Climate [Member] | Services And Parts [Member]      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer, Excluding Assessed Tax 4,107.8 3,918.2  
Industrial [Member]      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer, Excluding Assessed Tax 3,523.0 3,324.4 $ 3,030.1
Industrial [Member] | UnitedStates [Member]      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer, Excluding Assessed Tax 1,811.4 1,763.6  
Industrial [Member] | Non United States [Member]      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer, Excluding Assessed Tax 1,711.6 1,560.8  
Industrial [Member] | Equipment Sales [Member]      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer, Excluding Assessed Tax 2,171.4 2,023.3  
Industrial [Member] | Services And Parts [Member]      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer, Excluding Assessed Tax $ 1,351.6 $ 1,301.1