Segment Reporting - Segment Results (Details) - USD ($)		3 Months Ended	12 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Dec. 31, 2021	Dec. 31, 2020	Dec. 31, 2019
Segment Reporting [Abstract]
Revenues			$ 5,152,400,000	$ 3,973,200,000	$ 2,017,500,000
Adjusted EBITDA			1,325,100,000	980,000,000.0	487,200,000
Less items to reconcile Segment Adjusted EBITDA to Income (Loss) Before Income Taxes [Abstract]
Interest expense			87,700,000	111,100,000	88,400,000
Depreciation and amortization expense			422,100,000	412,500,000	146,500,000
Impairment of other intangible assets		$ 19,900,000	0	19,900,000	0
Restructuring and related business transformation costs			18,800,000	88,000,000.0	19,600,000
Acquisition related expenses and non-cash charges			55,300,000	93,300,000	53,800,000
Stock-based compensation			87,200,000	47,500,000	18,700,000
Loss on extinguishment of debt	$ 9,000,000		9,000,000.0	2,000,000.0	200,000
Foreign currency transaction losses (gains), net			(12,000,000.0)	18,600,000	7,300,000
Non-cash adjustments to carrying value of LIFO inventories			33,200,000	39,800,000	200,000
Shareholder litigation settlement recoveries			0	0	(6,000,000.0)
Income (Loss) Before Income Taxes			513,000,000.0	(45,400,000)	110,200,000
Depreciation of rental equipment			4,100,000	2,100,000
Restructuring Costs [Abstract]
Restructuring charges			13,400,000	83,000,000.0	11,100,000
Facility reorganization, relocation and other costs			3,100,000	2,100,000	2,400,000
Other, net			2,300,000	2,900,000	6,100,000
Total restructuring and related business transformation costs			18,800,000	88,000,000.0	19,600,000
Stock-based compensation expense recognized in continuing operations			87,200,000	47,500,000	18,700,000
Increase (decrease) in stock-based compensation expense due to costs associated with employer taxes			8,700,000	(500,000)	1,500,000
LIFO reserve changes			33,200,000	4,200,000
Total capital expenditures			64,100,000	42,000,000.0	37,900,000
Total identifiable assets			15,154,500,000	16,058,600,000
Ingersoll Rand Industrial
Less items to reconcile Segment Adjusted EBITDA to Income (Loss) Before Income Taxes [Abstract]
Non-cash adjustments to carrying value of LIFO inventories				35,600,000
Restructuring Costs [Abstract]
Reduction in carrying value of inventories				35,600,000
Industrial Technologies and Services
Segment Reporting [Abstract]
Revenues			4,161,000,000	3,248,200,000
Precision and Science Technologies
Segment Reporting [Abstract]
Revenues			991,400,000	725,000,000.0
Operating segments | Industrial Technologies and Services
Segment Reporting [Abstract]
Revenues			4,161,000,000	3,248,200,000	1,700,900,000
Adjusted EBITDA			1,033,700,000	759,800,000	391,400,000
Less items to reconcile Segment Adjusted EBITDA to Income (Loss) Before Income Taxes [Abstract]
Depreciation and amortization expense			296,600,000	306,000,000.0	120,000,000.0
Restructuring Costs [Abstract]
Total capital expenditures			53,100,000	32,200,000	31,500,000
Total identifiable assets			9,101,700,000	9,113,400,000
Operating segments | Precision and Science Technologies
Segment Reporting [Abstract]
Revenues			991,400,000	725,000,000.0	316,600,000
Adjusted EBITDA			291,400,000	220,200,000	95,800,000
Less items to reconcile Segment Adjusted EBITDA to Income (Loss) Before Income Taxes [Abstract]
Depreciation and amortization expense			108,300,000	102,400,000	23,600,000
Restructuring Costs [Abstract]
Total capital expenditures			10,700,000	9,800,000	5,500,000
Total identifiable assets			3,572,200,000	2,852,800,000
Corporate expenses not allocated to segments
Less items to reconcile Segment Adjusted EBITDA to Income (Loss) Before Income Taxes [Abstract]
Corporate expenses not allocated to segments			133,200,000	101,900,000	45,600,000
Depreciation and amortization expense			17,200,000	4,100,000	2,900,000
Restructuring Costs [Abstract]
Total capital expenditures			300,000	0	900,000
Total identifiable assets			2,465,000,000	1,892,200,000
Segment reconciling items
Less items to reconcile Segment Adjusted EBITDA to Income (Loss) Before Income Taxes [Abstract]
Interest expense			87,700,000	111,100,000	88,400,000
Depreciation and amortization expense			418,000,000.0	410,400,000	146,500,000
Impairment of other intangible assets			0	19,900,000	0
Restructuring and related business transformation costs			18,800,000	88,000,000.0	19,600,000
Acquisition related expenses and non-cash charges			65,200,000	181,500,000	54,600,000
Gain on settlement of post-acquisition contingencies			(30,100,000)	0	0
Stock-based compensation			95,900,000	47,000,000.0	20,200,000
Loss on extinguishment of debt			9,000,000.0	2,000,000.0	200,000
Foreign currency transaction losses (gains), net			(12,000,000.0)	18,600,000	7,300,000
Non-cash adjustments to carrying value of LIFO inventories			33,200,000	39,800,000	200,000
Shareholder litigation settlement recoveries			0	0	(6,000,000.0)
Other adjustments			(6,800,000)	5,200,000	400,000
Restructuring Costs [Abstract]
Total restructuring and related business transformation costs			18,800,000	88,000,000.0	$ 19,600,000
Total identifiable assets			$ 15,600,000	$ 2,200,200,000