Basis of Presentation and Recent Accounting Pronouncements - Narrative (Details) - USD ($) $ in Millions	9 Months Ended
	Sep. 30, 2020	Sep. 30, 2019	Jun. 30, 2020	Feb. 28, 2020	Dec. 31, 2019	Jun. 30, 2019	Dec. 31, 2018
Subsidiary, Sale of Stock [Line Items]
Accounting Standards Update [Extensible List]	us-gaap:AccountingStandardsUpdate201613Member	us-gaap:AccountingStandardsUpdate201802Member
Stockholders' equity	$ 8,829.9	$ 1,790.5			$ 1,869.9
Cumulative Effect, Period of Adoption, Adjustment | Accounting Standards Update 2016-13 | Accounts Receivable
Subsidiary, Sale of Stock [Line Items]
Stockholders' equity					(1.0)
Common Stock
Subsidiary, Sale of Stock [Line Items]
Stockholders' equity	$ 4.2	2.1	$ 4.2		2.1	$ 2.1	$ 2.0
Common Stock | Ingersoll Rand | KKR
Subsidiary, Sale of Stock [Line Items]
Number of shares owned by non-controlling owners (shares)	44,788,635			70,671,135
Ownership interest by non-controlling owners (as a percent)	11.00%			34.00%
Accumulated Deficit
Subsidiary, Sale of Stock [Line Items]
Stockholders' equity	$ (327.3)	(167.1)	$ (356.8)		(141.4)	$ (208.4)	$ (308.7)
Accumulated Deficit | Cumulative Effect, Period of Adoption, Adjustment | Accounting Standards Update 2016-13
Subsidiary, Sale of Stock [Line Items]
Stockholders' equity	$ (1.0)	$ 0.0			$ (1.0)