Condensed Consolidated Statements of Comprehensive Income - USD ($) shares in Millions, $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2020	Sep. 30, 2019	Sep. 30, 2020	Sep. 30, 2019
Net revenues	$ 3,495.5	$ 3,470.9	$ 9,275.6	$ 9,892.2
Cost of goods sold	(2,360.8)	(2,366.6)	(6,420.1)	(6,818.6)
Selling and administrative expenses	(567.8)	(567.8)	(1,710.7)	(1,733.7)
Operating income	566.9	536.5	1,144.8	1,339.9
Interest expense	(62.4)	(63.9)	(186.8)	(179.4)
Other income/(expense), net	(4.5)	(5.8)	7.6	(21.7)
Earnings before income taxes	500.0	466.8	965.6	1,138.8
Benefit (provision) for income taxes	(89.9)	(80.5)	(224.4)	(192.6)
Earnings from continuing operations	410.1	386.3	741.2	946.2
Discontinued operations, net of tax	(5.5)	77.1	(120.4)	181.2
Net earnings (loss)	404.6	463.4	620.8	1,127.4
Less: Net earnings from Continuing Operations, Net of Tax, Attributable to Noncontrolling Interest	(4.0)	(3.7)	(9.7)	(10.3)
Less: Net earnings from Discontinued Operations, Net of Tax, Attributable to Noncontrolling Interest	0.0	(0.9)	(0.9)	(2.3)
Net earnings (loss) attributable to Trane Technologies plc	400.6	458.8	610.2	1,114.8
Amounts attributable to Trane Technologies plc ordinary shareholders:
Continuing operations	406.1	382.6	731.5	935.9
Discontinued operations	(5.5)	76.2	(121.3)	178.9
Net earnings (loss) attributable to Trane Technologies plc	$ 400.6	$ 458.8	$ 610.2	$ 1,114.8
Basic:
Continuing operations	$ 1.69	$ 1.58	$ 3.05	$ 3.86
Discontinued operations	(0.02)	0.32	(0.51)	0.74
Net earnings (loss)	1.67	1.90	2.54	4.60
Diluted:
Continuing operations	1.67	1.57	3.01	3.82
Discontinued operations	(0.03)	0.31	(0.50)	0.73
Net earnings (loss)	$ 1.64	$ 1.88	$ 2.51	$ 4.55
Weighted-average shares outstanding
Basic	240.4	241.7	240.0	242.1
Diluted	243.7	244.6	242.7	244.8
Comprehensive Income (Loss), Net of Tax, Attributable to Parent [Abstract]
Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Adjustment, Net of Tax	$ 111.3	$ (143.2)	$ 107.4	$ (139.3)
Other Comprehensive Income (Loss), Unrealized Gain (Loss) on Derivatives Arising During Period, before Tax	1.5	(0.5)	1.7	(0.7)
Other Comprehensive Income (Loss), Reclassification Adjustment from AOCI on Derivatives, before Tax	0.7	(0.2)	1.1	0.8
Other Comprehensive Income (Loss), Reclassification Adjustment from AOCI on Derivatives, Tax	(0.4)	0.2	0.4	0.1
Other Comprehensive Income (Loss), Cash Flow Hedge, Gain (Loss), after Reclassification and Tax	1.8	(0.5)	3.2	0.2
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss) Arising During Period, before Tax	0.0	0.0	(21.3)	0.0
Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), Reclassification Adjustment from AOCI, before Tax	10.5	10.1	32.7	35.8
Other Comprehensive Income (Loss), Defined Benefit Plan, Settlement and Curtailment Gain (Loss), before Tax	(0.1)	0.7	(3.7)	2.4
OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansCurrencyTranslationBeforeTax	(6.6)	4.6	(3.0)	4.7
Other Comprehensive (Income) Loss, Defined Benefit Plan, after Reclassification Adjustment, Tax	(1.9)	(2.8)	(6.9)	(8.4)
Other Comprehensive (Income) Loss, Defined Benefit Plan, after Reclassification Adjustment, after Tax	(1.9)	(12.6)	2.2	(34.5)
Other comprehensive income (loss)	115.0	(131.1)	108.4	(104.6)
Comprehensive income (loss), net of tax	519.6	332.3	729.2	1,022.8
Less: Comprehensive (income) loss attributable to noncontrolling interests	(3.9)	(4.1)	(12.7)	(13.7)
Comprehensive income (loss) attributable to Trane Technologies plc	$ 515.7	$ 328.2	$ 716.5	$ 1,009.1