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	144.5	143.5			143.5			1.0
Dividends declared	0.0
Issuance of common stock for stock-based compensation plans (in shares)			1.4
Issuance of common stock for stock-based compensation plans	12.3	12.3		12.3
Purchases of treasury stock	(3.2)	(3.2)					(3.2)
Issuance of treasury stock for stock-based compensation plans	0.8	0.8		(1.1)			1.9
Stock-based compensation	54.5	54.5		54.5
Other comprehensive income (loss), net of tax	(50.5)	(48.2)				(48.2)		(2.3)
Divestiture of foreign subsidiaries	(1.5)	(1.5)				(1.5)
Balance at end of period (in shares) at Jun. 30, 2021			421.5
Balance at end 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
Balance at beginning of period (in shares) at Mar. 31, 2021			420.9
Balance at beginning of period at Mar. 31, 2021	9,025.7	8,956.7	$ 4.2	9,337.8	(266.1)	(84.4)	(34.8)	69.0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	234.6	233.9			233.9			0.7
Issuance of common stock for stock-based compensation plans (in shares)			0.6
Issuance of common stock for stock-based compensation plans	7.6	7.6		7.6
Purchases of treasury stock	(0.2)	(0.2)					(0.2)
Issuance of treasury stock for stock-based compensation plans	0.4	0.4					0.4
Stock-based compensation	30.6	30.6		30.6
Other comprehensive income (loss), net of tax	49.2	50.4				50.4		(1.2)
Divestiture of foreign subsidiaries	(1.5)	(1.5)				(1.5)
Balance at end of period (in shares) at Jun. 30, 2021			421.5
Balance at end 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
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	243.8	242.2			242.2			1.6
Dividends declared	(16.2)	(16.2)			(16.2)
Issuance of common stock for stock-based compensation plans (in shares)			0.8
Issuance of common stock for stock-based compensation plans	7.9	7.9		7.9
Purchases of treasury stock	(253.7)	(253.7)					(253.7)
Issuance of treasury stock for stock-based compensation plans	1.0	1.0		(3.2)			4.2
Stock-based compensation	43.6	43.6		43.6
Other comprehensive income (loss), net of tax	(253.6)	(249.4)				(249.4)		(4.2)
Balance at end of period (in shares) at Jun. 30, 2022			424.6
Balance at end 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
Balance at beginning of period (in shares) at Mar. 31, 2022			424.5
Balance at beginning of period at Mar. 31, 2022	9,063.3	8,992.2	$ 4.3	9,432.1	474.1	(71.5)	(846.8)	71.1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	139.3	138.5			138.5			0.8
Dividends declared	(8.0)	(8.0)			(8.0)
Issuance of common stock for stock-based compensation plans (in shares)			0.1
Issuance of common stock for stock-based compensation plans	3.4	3.4		3.4
Purchases of treasury stock	(152.6)	(152.6)					(152.6)
Issuance of treasury stock for stock-based compensation plans	0.3	0.3		(1.2)			1.5
Stock-based compensation	22.6	22.6		22.6
Other comprehensive income (loss), net of tax	(224.3)	(219.5)				(219.5)		(4.8)
Balance at end of period (in shares) at Jun. 30, 2022			424.6
Balance at end 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