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Business Segment Information (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2021
Mar. 31, 2020
Segment Reporting Information [Line Items]        
Depreciation and amortization $ 239 $ 211 $ 483 $ 422
Corporate, non-segment [Member] | Corporate and Other [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization 16 9 36 18
Operating Segments [Member] | Automation Solutions [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization 156 138 312 277
Operating Segments [Member] | Commercial & Residential Solutions [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization 67 64 135 127
Operating Segments [Member] | Climate Technologies [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization 47 45 96 89
Operating Segments [Member] | Tools & Home Products [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization $ 20 $ 19 $ 39 $ 38