Business Combinations - Unaudited Pro Forma Information (Details) - USD ($) $ in Millions		3 Months Ended		12 Months Ended
	Feb. 29, 2020	Dec. 31, 2020	Dec. 31, 2019	Dec. 31, 2020	Dec. 31, 2019	Dec. 31, 2018
Unaudited Pro Forma Information [Abstract]
Revenues				$ 105.8	$ 137.6	$ 96.2
Increase (decrease) to revenue as a result of deferred revenue fair value adjustment, net of tax				4,910.2	2,451.9	2,689.8
Increase (decrease) to expense as a result of inventory fair value adjustment, net of tax				3,296.8	1,540.2	$ 1,677.3
Ingersoll Rand Industrial
Unaudited Pro Forma Information [Abstract]
Revenues				5,398.0	6,146.5
Net Income (Loss)				164.8	101.1
Increase (decrease) to expense as a result of transaction costs, net of tax	$ 87.3	$ 42.3	$ 45.0
Ingersoll Rand Industrial | Deferred Revenue
Unaudited Pro Forma Information [Abstract]
Increase (decrease) to revenue as a result of deferred revenue fair value adjustment, net of tax				13.8	(13.8)
Ingersoll Rand Industrial | Inventory
Unaudited Pro Forma Information [Abstract]
Increase (decrease) to expense as a result of inventory fair value adjustment, net of tax				(89.6)	89.6
Ingersoll Rand Industrial | Transaction Costs
Unaudited Pro Forma Information [Abstract]
Increase (decrease) to expense as a result of transaction costs, net of tax				$ (34.8)	$ 34.8