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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, 2022	Mar. 31, 2021	Mar. 31, 2022	Mar. 31, 2021
Segment Reporting Information [Line Items]
Net sales	$ 6,098	$ 5,594	$ 11,960	$ 10,935
Segment EBITA	800	711	1,523	1,353
Corporate expenses	(60)	(70)	(130)	(137)
Amortization of intangible assets	(106)	(104)	(224)	(208)
Restructuring and impairment costs	(384)	(96)	(433)	(96)
Net mark-to-market adjustments	(89)	209	(32)	230
Net financing charges	(51)	(44)	(104)	(103)
Income from continuing operations before income taxes	110	606	600	1,039
Building Solutions North America
Segment Reporting Information [Line Items]
Net sales	2,227	2,092	4,379	4,126
Segment EBITA	235	266	485	521
Building Solutions EMEA/LA
Segment Reporting Information [Line Items]
Net sales	958	934	1,917	1,882
Segment EBITA	79	88	183	186
Building Solutions Asia Pacific
Segment Reporting Information [Line Items]
Net sales	623	594	1,298	1,198
Segment EBITA	74	73	142	150
Global Products
Segment Reporting Information [Line Items]
Net sales	2,290	1,974	4,366	3,729
Segment EBITA	$ 412	$ 284	$ 713	$ 496

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