Revenue - Desegregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jun. 30, 2018	Jun. 30, 2017	Jun. 30, 2018	Jun. 30, 2017
Disaggregation of Revenue [Line Items]
Net revenues	$ 4,357.7	$ 3,908.4	$ 7,742.2	$ 6,909.0
Climate
Disaggregation of Revenue [Line Items]
Net revenues	3,493.8	3,143.8	6,103.6	5,467.9
Climate | Equipment
Disaggregation of Revenue [Line Items]
Net revenues	2,454.8		4,226.3
Climate | Services and parts
Disaggregation of Revenue [Line Items]
Net revenues	1,039.0		1,877.3
Climate | United States
Disaggregation of Revenue [Line Items]
Net revenues	2,410.4		4,122.2
Climate | Non-U.S.
Disaggregation of Revenue [Line Items]
Net revenues	1,083.4		1,981.4
Industrial
Disaggregation of Revenue [Line Items]
Net revenues	863.9	$ 764.6	1,638.6	$ 1,441.1
Industrial | Equipment
Disaggregation of Revenue [Line Items]
Net revenues	534.9		1,005.5
Industrial | Services and parts
Disaggregation of Revenue [Line Items]
Net revenues	329.0		633.1
Industrial | United States
Disaggregation of Revenue [Line Items]
Net revenues	450.6		865.2
Industrial | Non-U.S.
Disaggregation of Revenue [Line Items]
Net revenues	$ 413.3		$ 773.4