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Segment Information - Financial Information Related to Company's Reportable Segments (Details) - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Segment Reporting Information [Line Items]    
Total net sales $ 5,426 $ 5,209
Total segment EBITA 815 678
Corporate expenses 171 139
Amortization of intangible assets 120 119
Restructuring and impairment costs 33 35
Water systems AFFF insurance recoveries (4) 0
Net mark-to-market losses (gains) 1 (22)
Net financing charges 86 87
Income from continuing operations before income taxes 408 320
Building Solutions North America    
Segment Reporting Information [Line Items]    
Total net sales 2,744 2,487
Total segment EBITA 332 285
Building Solutions EMEA/LA    
Segment Reporting Information [Line Items]    
Total net sales 1,073 1,038
Total segment EBITA 108 80
Building Solutions Asia Pacific    
Segment Reporting Information [Line Items]    
Total net sales 527 507
Total segment EBITA 49 46
Global Products    
Segment Reporting Information [Line Items]    
Total net sales 1,082 1,177
Total segment EBITA $ 326 $ 267