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Segment Information - Financial Information Related to Company's Reportable Segments (Detail) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 31, 2021	Mar. 31, 2020	Mar. 31, 2021	Mar. 31, 2020
Segment Reporting Information [Line Items]
Net sales	$ 5,594	$ 5,444	$ 10,935	$ 11,020
Segment EBITA	711	617	1,353	1,240
Corporate expenses	(70)	(118)	(137)	(236)
Amortization of intangible assets	(104)	(97)	(208)	(193)
Restructuring and impairment costs	(96)	(62)	(96)	(173)
Net mark-to-market adjustments	209	(32)	230	(22)
Net financing charges	(44)	(59)	(103)	(111)
Income from continuing operations before income taxes	606	249	1,039	505
Building Solutions North America
Segment Reporting Information [Line Items]
Net sales	2,092	2,175	4,126	4,342
Segment EBITA	266	251	521	509
Building Solutions EMEA/LA
Segment Reporting Information [Line Items]
Net sales	897	850	1,803	1,778
Segment EBITA	86	85	181	175
Building Solutions Asia Pacific
Segment Reporting Information [Line Items]
Net sales	603	525	1,218	1,154
Segment EBITA	74	65	153	137
Global Products
Segment Reporting Information [Line Items]
Net sales	2,002	1,894	3,788	3,746
Segment EBITA	$ 285	$ 216	$ 498	$ 419

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