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Business Segment Information (Details) - 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]        
Depreciation and amortization $ 221 $ 239 $ 452 $ 483
Corporate, non-segment [Member] | Corporate and Other [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization 9 16 18 36
Operating Segments [Member] | Automation Solutions [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization 147 156 302 312
Operating Segments [Member] | Commercial & Residential Solutions [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization 65 67 132 135
Operating Segments [Member] | Climate Technologies [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization 46 47 93 96
Operating Segments [Member] | Tools & Home Products [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization $ 19 $ 20 $ 39 $ 39