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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2020
Mar. 31, 2019
Segment Reporting Information [Line Items]        
Net sales $ 4,162 $ 4,570 $ 8,313 $ 8,717
Earnings 689 675 1,112 1,266
Interest expense (36) (48) (71) (91)
Operating Segments [Member] | Automation Solutions [Member]        
Segment Reporting Information [Line Items]        
Net sales 2,709 3,010 5,561 5,809
Earnings 391 444 701 851
Operating Segments [Member] | Commercial & Residential Solutions [Member]        
Segment Reporting Information [Line Items]        
Net sales 1,458 1,561 2,761 2,899
Earnings 306 328 543 565
Operating Segments [Member] | Climate Technologies [Member]        
Segment Reporting Information [Line Items]        
Net sales 1,026 1,092 1,899 1,972
Earnings 217 226 368 372
Operating Segments [Member] | Tools & Home Products [Member]        
Segment Reporting Information [Line Items]        
Net sales 432 469 862 927
Earnings 89 102 175 193
Segment Reconciling Items [Member]        
Segment Reporting Information [Line Items]        
Stock compensation 38 (59) (18) (52)
Unallocated pension and postretirement costs 12 27 25 54
Interest expense (36) (48) (71) (91)
Corporate and other [Member]        
Segment Reporting Information [Line Items]        
Earnings (22) (17) (68) (61)
Intersegment Eliminations [Member]        
Segment Reporting Information [Line Items]        
Net sales $ (5) $ (1) $ (9) $ 9