Allowance for Credit Losses - Summary (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Dec. 31, 2021	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Accounts Receivable, Allowance for Credit Loss [Roll Forward]
Balance at beginning of the period		$ 42.3	$ 50.9	$ 16.6
Acquisition of Ingersoll Rand Industrial		0.0	0.0	25.1
Provision (benefit) charged to expense	$ 6.6	10.1	(4.3)	10.3
Write-offs, net of recoveries		(3.2)	(3.8)	(3.5)
Foreign currency translation and other		(2.0)	(0.5)	2.4
Balance at end of the period	42.3	$ 47.2	$ 42.3	$ 50.9
Allowance of selling and administrative expense	$ 6.6