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Segment Information - Financial Information Related to Company's Reportable Segments (Detail) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2020	Dec. 31, 2019
Segment Reporting Information [Line Items]
Net sales	$ 5,341	$ 5,576
Segment EBITA	642	623
Corporate expenses	(67)	(118)
Amortization of intangible assets	(104)	(96)
Restructuring and impairment costs	0	(111)
Net mark-to-market adjustments	21	10
Net financing charges	(59)	(52)
Income from continuing operations before income taxes	433	256
Building Solutions North America
Segment Reporting Information [Line Items]
Net sales	2,034	2,167
Segment EBITA	255	258
Building Solutions EMEA/LA
Segment Reporting Information [Line Items]
Net sales	906	928
Segment EBITA	95	90
Building Solutions Asia Pacific
Segment Reporting Information [Line Items]
Net sales	615	629
Segment EBITA	79	72
Global Products
Segment Reporting Information [Line Items]
Net sales	1,786	1,852
Segment EBITA	$ 213	$ 203

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