Business Combinations - Unaudited Pro Forma Information (Details) - USD ($) $ in Millions	3 Months Ended			6 Months Ended		15 Months Ended
	Jun. 30, 2021	Jun. 30, 2020	Mar. 31, 2020	Jun. 30, 2021	Jun. 30, 2020	Mar. 31, 2020
Unaudited Pro Forma Information [Abstract]
Increase to revenue as a result of deferred revenue fair value adjustment, net of tax	$ 1,279.1	$ 1,025.4		$ 2,408.6	$ 1,642.2
Decrease to expense as a result of inventory fair value adjustment, net of tax	$ 766.4	716.8		$ 1,443.8	1,130.3
Ingersoll Rand Industrial
Unaudited Pro Forma Information [Abstract]
Business Acquisition, Pro Forma Revenue		1,271.6			2,541.3
Net Income (Loss)		7.0			6.8
Decrease to expense as a result of transaction costs, net of tax			$ 42.3			$ 87.3
Ingersoll Rand Industrial | Deferred Revenue
Unaudited Pro Forma Information [Abstract]
Increase to revenue as a result of deferred revenue fair value adjustment, net of tax		5.6			5.5
Ingersoll Rand Industrial | Inventory
Unaudited Pro Forma Information [Abstract]
Decrease to expense as a result of inventory fair value adjustment, net of tax		(58.5)			(89.6)
Ingersoll Rand Industrial | Transaction Costs
Unaudited Pro Forma Information [Abstract]
Decrease to expense as a result of transaction costs, net of tax		$ 0.0			$ (38.1)