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Segment Information - Financial Information Related to Company's Reportable Segments (Detail) - USD ($) $ in Millions	3 Months Ended			9 Months Ended
	Jun. 30, 2021	Jun. 30, 2020	Mar. 31, 2020	Jun. 30, 2021	Jun. 30, 2020
Segment Reporting Information [Line Items]
Net sales	$ 6,341	$ 5,343		$ 17,276	$ 16,363
Segment EBITA	1,020	839		2,373	2,079
Corporate expenses	(70)	(67)		(207)	(303)
Amortization of intangible assets	(112)	(95)		(320)	(288)
Restructuring and impairment costs	(79)	(610)	$ (62)	(175)	(783)
Net mark-to-market adjustments	66	(132)		296	(154)
Net financing charges	(56)	(58)		(159)	(169)
Income (loss) from continuing operations before income taxes	769	(123)		1,808	382
Building Solutions North America
Segment Reporting Information [Line Items]
Net sales	2,212	2,020		6,338	6,362
Segment EBITA	326	307		847	816
Building Solutions EMEA/LA
Segment Reporting Information [Line Items]
Net sales	962	756		2,765	2,534
Segment EBITA	103	62		284	237
Building Solutions Asia Pacific
Segment Reporting Information [Line Items]
Net sales	712	588		1,930	1,742
Segment EBITA	84	92		237	229
Global Products
Segment Reporting Information [Line Items]
Net sales	2,455	1,979		6,243	5,725
Segment EBITA	$ 507	$ 378		$ 1,005	$ 797

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