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Segment Information - Financial Information Related to Company's Reportable Segments (Details) - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Segment Reporting Information [Line Items]    
Total net sales $ 6,094 $ 6,068
Total segment EBITA 780 792
Corporate expenses 139 109
Amortization of intangible assets 122 104
Restructuring and impairment costs 39 345
Net mark-to-market gains (22) (3)
Net financing charges (99) (67)
Income before income taxes 403 170
Building Solutions North America    
Segment Reporting Information [Line Items]    
Total net sales 2,487 2,367
Total segment EBITA 285 267
Building Solutions EMEA/LA    
Segment Reporting Information [Line Items]    
Total net sales 1,038 975
Total segment EBITA 80 75
Building Solutions Asia Pacific    
Segment Reporting Information [Line Items]    
Total net sales 507 646
Total segment EBITA 46 68
Global Products    
Segment Reporting Information [Line Items]    
Total net sales 2,062 2,080
Total segment EBITA $ 369 $ 382