Business Combinations - Unaudited Pro Forma Information (Details) - USD ($) $ in Millions	3 Months Ended			9 Months Ended		15 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Mar. 31, 2020	Sep. 30, 2021	Sep. 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	$ 1,325.0	$ 1,112.5		$ 3,733.6	$ 2,754.7
Decrease to expense as a result of inventory fair value adjustment, net of tax	$ 810.7	682.5		$ 2,254.5	1,812.8
Ingersoll Rand Industrial
Unaudited Pro Forma Information [Abstract]
Revenues		1,340.8			3,882.1
Net Income (Loss)		60.7			67.5
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		4.4			9.9
Ingersoll Rand Industrial | Inventory
Unaudited Pro Forma Information [Abstract]
Decrease to expense as a result of inventory fair value adjustment, net of tax		0.0			(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)