Guarantor Financial Information (Condensed Consolidating Statement of Comprehensive Income) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017
Net revenues	$ 16,598.9	$ 15,668.2	$ 14,197.6
Cost of goods sold	(11,451.5)	(10,847.6)	(9,811.6)
Selling and administrative expenses	(3,129.8)	(2,903.2)	(2,720.7)
Operating Income (Loss)	2,017.6	1,917.4	1,665.3
Equity earnings (loss) in affiliates, net of tax	0.0	0.0	0.0
Interest expense	243.0	220.7	215.8
Intercompany Interest And Fees	0.0	0.0	0.0
Other, net	(33.0)	(36.4)	(31.6)
Earnings (loss) before income taxes	1,741.6	1,660.3	1,417.9
Benefit (provision) for income taxes	(353.7)	(281.3)	(80.2)
Earnings (loss) from continuing operations	1,387.9	1,379.0	1,337.7
Discontinued operations, net of tax	40.6	(21.5)	(25.4)
Net earnings	1,428.5	1,357.5	1,312.3
Comprehensive Income (Loss), Net of Tax, Including Portion Attributable to Noncontrolling Interest	1,386.9	1,169.2	1,824.5
Less: Net earnings attributable to noncontrolling interests	(17.6)	(19.9)	(9.7)
Net earnings (loss) attributable to Ingersoll-Rand plc	1,410.9	1,337.6	1,302.6
Other comprehensive income (loss), net of tax	(42.5)	(185.3)	511.7
Total comprehensive income (loss) attributable to Ingersoll-Rand plc	1,368.4	1,152.3	1,814.3
Plc [Member]
Net revenues	0.0	0.0	0.0
Cost of goods sold	0.0	0.0	0.0
Selling and administrative expenses	(16.1)	(39.6)	(15.6)
Operating Income (Loss)	(16.1)	(39.6)	(15.6)
Equity earnings (loss) in affiliates, net of tax	1,544.1	1,460.9	1,349.2
Interest expense	0.0	0.0	0.0
Intercompany Interest And Fees	(125.0)	(92.7)	(33.1)
Other, net	(0.1)	0.0	0.0
Earnings (loss) before income taxes	1,402.9	1,328.6	1,300.5
Benefit (provision) for income taxes	8.0	9.0	2.1
Earnings (loss) from continuing operations	1,410.9	1,337.6	1,302.6
Discontinued operations, net of tax	0.0	0.0	0.0
Net earnings	1,410.9	1,337.6	1,302.6
Less: Net earnings attributable to noncontrolling interests	0.0	0.0	0.0
Net earnings (loss) attributable to Ingersoll-Rand plc	1,410.9	1,337.6	1,302.6
Other comprehensive income (loss), net of tax	(42.5)	(185.3)	511.7
Total comprehensive income (loss) attributable to Ingersoll-Rand plc	1,368.4	1,152.3	1,814.3
Irish Holdings [Member]
Net revenues	0.0	0.0	0.0
Cost of goods sold	0.0	0.0	0.0
Selling and administrative expenses	0.0	0.0	0.0
Operating Income (Loss)	0.0	0.0	0.0
Equity earnings (loss) in affiliates, net of tax	1,542.8	1,458.6	1,334.7
Interest expense	0.0	0.0	0.0
Intercompany Interest And Fees	0.0	0.0	0.0
Other, net	0.0	0.0	0.0
Earnings (loss) before income taxes	1,542.8	1,458.6	1,334.7
Benefit (provision) for income taxes	0.0	0.0	0.0
Earnings (loss) from continuing operations	1,542.8	1,458.6	1,334.7
Discontinued operations, net of tax	0.0	0.0	0.0
Net earnings	1,542.8	1,458.6	1,334.7
Less: Net earnings attributable to noncontrolling interests	0.0	0.0	0.0
Net earnings (loss) attributable to Ingersoll-Rand plc	1,542.8	1,458.6	1,334.7
Other comprehensive income (loss), net of tax	(42.2)	(184.7)	510.3
Total comprehensive income (loss) attributable to Ingersoll-Rand plc	1,500.6	1,273.9	1,845.0
Lux International [Member]
Net revenues	0.0	0.0	0.0
Cost of goods sold	0.0	0.0	0.0
Selling and administrative expenses	(0.8)	(0.4)	(0.1)
Operating Income (Loss)	(0.8)	(0.4)	(0.1)
Equity earnings (loss) in affiliates, net of tax	1,237.3	1,183.7	982.3
Interest expense	0.0	0.4	0.0
Intercompany Interest And Fees	74.7	41.1	253.0
Other, net	59.5	(48.8)	0.1
Earnings (loss) before income taxes	1,370.7	1,176.0	1,235.3
Benefit (provision) for income taxes	5.1	0.0	0.0
Earnings (loss) from continuing operations	1,375.8	1,176.0	1,235.3
Discontinued operations, net of tax	0.0	0.0	0.0
Net earnings	1,375.8	1,176.0	1,235.3
Less: Net earnings attributable to noncontrolling interests	0.0	0.0	0.0
Net earnings (loss) attributable to Ingersoll-Rand plc	1,375.8	1,176.0	1,235.3
Other comprehensive income (loss), net of tax	(30.7)	(174.2)	471.1
Total comprehensive income (loss) attributable to Ingersoll-Rand plc	1,345.1	1,001.8	1,706.4
Global Holding [Member]
Net revenues	0.0	0.0	0.0
Cost of goods sold	0.0	0.0	0.0
Selling and administrative expenses	(0.3)	(0.3)	(1.2)
Operating Income (Loss)	(0.3)	(0.3)	(1.2)
Equity earnings (loss) in affiliates, net of tax	1,189.9	1,190.5	565.4
Interest expense	106.6	130.3	127.0
Intercompany Interest And Fees	(294.8)	(196.5)	(493.9)
Other, net	0.0	0.7	0.0
Earnings (loss) before income taxes	788.2	864.1	(56.7)
Benefit (provision) for income taxes	106.1	86.2	247.2
Earnings (loss) from continuing operations	894.3	950.3	190.5
Discontinued operations, net of tax	0.0	0.0	0.0
Net earnings	894.3	950.3	190.5
Less: Net earnings attributable to noncontrolling interests	0.0	0.0	0.0
Net earnings (loss) attributable to Ingersoll-Rand plc	894.3	950.3	190.5
Other comprehensive income (loss), net of tax	(16.6)	(86.2)	367.8
Total comprehensive income (loss) attributable to Ingersoll-Rand plc	877.7	864.1	558.3
New Jersey [Member]
Net revenues	0.0	0.0	0.0
Cost of goods sold	(18.3)	(28.7)	(25.2)
Selling and administrative expenses	(245.3)	(86.5)	(102.9)
Operating Income (Loss)	(263.6)	(115.2)	(128.1)
Equity earnings (loss) in affiliates, net of tax	1,274.2	1,213.0	1,271.7
Interest expense	46.2	46.8	47.2
Intercompany Interest And Fees	159.2	25.1	(514.3)
Other, net	(12.0)	(10.5)	(4.8)
Earnings (loss) before income taxes	1,111.6	1,065.6	577.3
Benefit (provision) for income taxes	16.5	145.0	15.9
Earnings (loss) from continuing operations	1,128.1	1,210.6	593.2
Discontinued operations, net of tax	36.2	(20.1)	(27.9)
Net earnings	1,164.3	1,190.5	565.3
Less: Net earnings attributable to noncontrolling interests	0.0	0.0	0.0
Net earnings (loss) attributable to Ingersoll-Rand plc	1,164.3	1,190.5	565.3
Other comprehensive income (loss), net of tax	(16.0)	(86.2)	367.3
Total comprehensive income (loss) attributable to Ingersoll-Rand plc	1,148.3	1,104.3	932.6
Lux Finance [Member]
Net revenues	0.0	0.0	0.0
Cost of goods sold	0.0	0.0	0.0
Selling and administrative expenses	(0.3)	(0.3)	(0.2)
Operating Income (Loss)	(0.3)	(0.3)	(0.2)
Equity earnings (loss) in affiliates, net of tax	209.9	195.6	107.9
Interest expense	89.7	43.0	41.0
Intercompany Interest And Fees	26.5	(11.2)	(8.2)
Other, net	4.7	0.1	0.0
Earnings (loss) before income taxes	151.1	141.2	58.5
Benefit (provision) for income taxes	0.0	0.0	0.0
Earnings (loss) from continuing operations	151.1	141.2	58.5
Discontinued operations, net of tax	0.0	0.0	0.0
Net earnings	151.1	141.2	58.5
Less: Net earnings attributable to noncontrolling interests	0.0	0.0	0.0
Net earnings (loss) attributable to Ingersoll-Rand plc	151.1	141.2	58.5
Other comprehensive income (loss), net of tax	(13.7)	(83.5)	102.1
Total comprehensive income (loss) attributable to Ingersoll-Rand plc	137.4	57.7	160.6
Other [Member]
Net revenues	16,598.9	15,668.2	14,197.6
Cost of goods sold	(11,433.2)	(10,818.9)	(9,786.4)
Selling and administrative expenses	(2,867.0)	(2,776.1)	(2,600.7)
Operating Income (Loss)	2,298.7	2,073.2	1,810.5
Equity earnings (loss) in affiliates, net of tax	0.0	0.0	0.0
Interest expense	0.5	1.0	0.6
Intercompany Interest And Fees	159.4	234.2	796.5
Other, net	(85.1)	22.1	(26.9)
Earnings (loss) before income taxes	2,372.5	2,328.5	2,579.5
Benefit (provision) for income taxes	(489.4)	(521.5)	(345.4)
Earnings (loss) from continuing operations	1,883.1	1,807.0	2,234.1
Discontinued operations, net of tax	4.4	(1.4)	2.5
Net earnings	1,887.5	1,805.6	2,236.6
Less: Net earnings attributable to noncontrolling interests	(17.6)	(19.9)	(9.7)
Net earnings (loss) attributable to Ingersoll-Rand plc	1,869.9	1,785.7	2,226.9
Other comprehensive income (loss), net of tax	(71.6)	(256.2)	499.0
Total comprehensive income (loss) attributable to Ingersoll-Rand plc	1,798.3	1,529.5	2,725.9
Eliminations [Member]
Net revenues	0.0	0.0	0.0
Cost of goods sold	0.0	0.0	0.0
Selling and administrative expenses	0.0	0.0	0.0
Operating Income (Loss)	0.0	0.0	0.0
Equity earnings (loss) in affiliates, net of tax	(6,998.2)	(6,702.3)	(5,611.2)
Interest expense	0.0	0.0	0.0
Intercompany Interest And Fees	0.0	0.0	0.0
Other, net	0.0	0.0	0.0
Earnings (loss) before income taxes	(6,998.2)	(6,702.3)	(5,611.2)
Benefit (provision) for income taxes	0.0	0.0	0.0
Earnings (loss) from continuing operations	(6,998.2)	(6,702.3)	(5,611.2)
Discontinued operations, net of tax	0.0	0.0	0.0
Net earnings	(6,998.2)	(6,702.3)	(5,611.2)
Less: Net earnings attributable to noncontrolling interests	0.0	0.0	0.0
Net earnings (loss) attributable to Ingersoll-Rand plc	(6,998.2)	(6,702.3)	(5,611.2)
Other comprehensive income (loss), net of tax	190.8	871.0	(2,317.6)
Total comprehensive income (loss) attributable to Ingersoll-Rand plc	$ (6,807.4)	$ (5,831.3)	$ (7,928.8)