CONDENSED CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY - USD ($) shares in Millions, $ in Millions	Total	Total Ingersoll Rand Inc. Stockholders' Equity	Common Stock	Capital in Excess of Par Value	Retained Earnings (Accumulated Deficit)	Accumulated Other Comprehensive Income (Loss)	Treasury Stock	Noncontrolling Interests
Balance at beginning of period (in shares) at Dec. 31, 2020			420.1
Balance at beginning of period at Dec. 31, 2020	$ 9,189.5	$ 9,119.7	$ 4.2	$ 9,310.3	$ (175.7)	$ 14.2	$ (33.3)	$ 69.8
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	271.3	269.5			269.5			1.8
Issuance of common stock for stock-based compensation plans (in shares)			3.4
Issuance of common stock for stock-based compensation plans	19.0	19.0		19.0
Purchases of treasury stock	(736.5)	(736.5)					(736.5)
Issuance of treasury stock for stock-based compensation plans	0.8	0.8		(19.4)			20.2
Stock-based compensation	76.6	76.6		76.6
Other comprehensive income (loss), net of tax	(96.1)	(94.0)				(94.0)		(2.1)
Divestiture of foreign subsidiaries	(1.5)	(1.5)				(1.5)
Dividends attributable to noncontrolling interests	(0.3)							(0.3)
Balance at end of period (in shares) at Sep. 30, 2021			423.5
Balance at end of period at Sep. 30, 2021	8,722.8	8,653.6	$ 4.2	9,386.5	93.8	(81.3)	(749.6)	69.2
Balance at beginning of period (in shares) at Jun. 30, 2021			421.5
Balance at beginning of period at Jun. 30, 2021	9,346.4	9,277.9	$ 4.2	9,376.0	(32.2)	(35.5)	(34.6)	68.5
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	126.8	126.0			126.0			0.8
Issuance of common stock for stock-based compensation plans (in shares)			2.0
Issuance of common stock for stock-based compensation plans	6.7	6.7		6.7
Purchases of treasury stock	(733.3)	(733.3)					(733.3)
Issuance of treasury stock for stock-based compensation plans	0.0			(18.3)			18.3
Stock-based compensation	22.1	22.1		22.1
Other comprehensive income (loss), net of tax	(45.6)	(45.8)				(45.8)		0.2
Divestiture of foreign subsidiaries	0.0
Dividends attributable to noncontrolling interests	(0.3)							(0.3)
Balance at end of period (in shares) at Sep. 30, 2021			423.5
Balance at end of period at Sep. 30, 2021	8,722.8	8,653.6	$ 4.2	9,386.5	93.8	(81.3)	(749.6)	69.2
Balance at beginning of period (in shares) at Dec. 31, 2021			423.8
Balance at beginning of period at Dec. 31, 2021	9,071.2	9,001.5	$ 4.3	9,408.6	378.6	(41.6)	(748.4)	69.7
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	389.8	387.3			387.3			2.5
Dividends declared	(24.3)	(24.3)			(24.3)
Issuance of common stock for stock-based compensation plans (in shares)			2.3
Issuance of common stock for stock-based compensation plans	13.3	13.3		13.3
Purchases of treasury stock	(257.8)	(257.8)					(257.8)
Issuance of treasury stock for stock-based compensation plans	1.8	1.8		(20.7)			22.5
Stock-based compensation	61.5	61.5		61.5
Other comprehensive income (loss), net of tax	(438.5)	(432.4)				(432.4)		(6.1)
Dividends attributable to noncontrolling interests	(2.0)							(2.0)
Balance at end of period (in shares) at Sep. 30, 2022			426.1
Balance at end of period at Sep. 30, 2022	8,815.0	8,750.9	$ 4.3	9,462.7	741.6	(474.0)	(983.7)	64.1
Balance at beginning of period (in shares) at Jun. 30, 2022			424.6
Balance at beginning of period at Jun. 30, 2022	8,844.0	8,776.9	$ 4.3	9,456.9	604.6	(291.0)	(997.9)	67.1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	146.0	145.1			145.1			0.9
Dividends declared	(8.1)	(8.1)			(8.1)
Issuance of common stock for stock-based compensation plans (in shares)			1.5
Issuance of common stock for stock-based compensation plans		5.4		5.4
Purchases of treasury stock		(4.1)					(4.1)
Issuance of treasury stock for stock-based compensation plans		0.8		(17.5)			18.3
Stock-based compensation	17.9	17.9		17.9
Other comprehensive income (loss), net of tax	(184.9)	(183.0)				(183.0)		(1.9)
Dividends attributable to noncontrolling interests	(2.0)							(2.0)
Balance at end of period (in shares) at Sep. 30, 2022			426.1
Balance at end of period at Sep. 30, 2022	$ 8,815.0	$ 8,750.9	$ 4.3	$ 9,462.7	$ 741.6	$ (474.0)	$ (983.7)	$ 64.1