Revenue - Desegregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2019	Sep. 30, 2018	Sep. 30, 2019	Sep. 30, 2018
Disaggregation of Revenue [Line Items]
Net revenues	$ 4,344.3	$ 4,030.9	$ 12,448.0	$ 11,773.1
Climate
Disaggregation of Revenue [Line Items]
Net revenues	3,470.9	3,238.7	9,892.2	9,342.3
Climate | Equipment
Disaggregation of Revenue [Line Items]
Net revenues	2,326.0	2,153.3	6,810.2	6,379.6
Climate | Services and parts
Disaggregation of Revenue [Line Items]
Net revenues	1,144.9	1,085.4	3,082.0	2,962.7
Climate | United States
Disaggregation of Revenue [Line Items]
Net revenues	2,474.6	2,223.1	7,015.1	6,345.3
Climate | Non-U.S.
Disaggregation of Revenue [Line Items]
Net revenues	996.3	1,015.6	2,877.1	2,997.0
Industrial
Disaggregation of Revenue [Line Items]
Net revenues	873.4	792.2	2,555.8	2,430.8
Industrial | Equipment
Disaggregation of Revenue [Line Items]
Net revenues	534.3	466.7	1,564.9	1,472.2
Industrial | Services and parts
Disaggregation of Revenue [Line Items]
Net revenues	339.1	325.5	990.9	958.6
Industrial | United States
Disaggregation of Revenue [Line Items]
Net revenues	455.2	411.9	1,310.5	1,277.1
Industrial | Non-U.S.
Disaggregation of Revenue [Line Items]
Net revenues	$ 418.2	$ 380.3	$ 1,245.3	$ 1,153.7