Business Combinations - Unaudited Pro Forma Information (Details) - USD ($) $ in Millions		3 Months Ended		9 Months Ended
	Feb. 29, 2020	Sep. 30, 2020	Sep. 30, 2019	Sep. 30, 2020	Sep. 30, 2019
Business Acquisition [Line Items]
Revenue		$ 1,335.2	$ 596.7	$ 3,399.5	$ 1,846.1
Cost of sales		853.2	375.2	2,313.0	1,159.7
Ingersoll Rand Industrial
Business Acquisition [Line Items]
Acquisition-related costs	$ 87.3	0.0	13.6	42.3	29.8
Unaudited Pro Forma Information [Abstract]
Revenues		1,340.8	1,477.8	3,882.1	4,567.4
Net Income (Loss)		60.7	73.4	67.5	5.0
Ingersoll Rand Industrial | Deferred Revenue
Business Acquisition [Line Items]
Revenue		4.4	(4.3)	9.9	(12.6)
Ingersoll Rand Industrial | Inventory
Business Acquisition [Line Items]
Cost of sales		0.0	0.0	(89.6)	89.6
Ingersoll Rand Industrial | Transaction Costs
Business Acquisition [Line Items]
Acquisition-related costs		$ 0.0	$ (12.2)	$ (38.1)	$ 51.8