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Business Segment Information - Schedule of Reportable Segments (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Segment Reporting Information [Line Items]      
Sales $ 8,264.2 $ 9,058.0 $ 7,760.4
Sales and operating results of reportable segments      
Purchase accounting depreciation and amortization, and impairment (143.9) (264.4) (103.9)
Corporate and other (135.8) (127.9) (104.7)
Non-operating pension and postretirement benefit credit (cost) 19.8 (82.7) (4.7)
Change in fair value of investments 0.1 279.3 (136.9)
Restructuring charges (97.4) 0.0 0.0
Interest expense, net (139.0) (125.6) (118.8)
Income before income taxes 1,099.1 1,608.5 1,073.6
Operating Segments      
Segment Reporting Information [Line Items]      
Sales 8,264.2 9,058.0 7,760.4
Segment operating earnings 1,595.3 1,929.8 1,542.6
Intelligent Devices      
Segment Reporting Information [Line Items]      
Sales 3,804.1 4,098.2  
Intelligent Devices | Operating Segments      
Segment Reporting Information [Line Items]      
Sales 3,804.1 4,098.2 3,544.6
Segment operating earnings 700.0 828.2 717.6
Software & Control      
Segment Reporting Information [Line Items]      
Sales 2,187.4 2,886.0  
Software & Control | Operating Segments      
Segment Reporting Information [Line Items]      
Sales 2,187.4 2,886.0 2,312.9
Segment operating earnings 529.7 953.2 666.7
Lifecycle Services      
Segment Reporting Information [Line Items]      
Sales 2,272.7 2,073.8  
Lifecycle Services | Operating Segments      
Segment Reporting Information [Line Items]      
Sales 2,272.7 2,073.8 1,902.9
Segment operating earnings $ 365.6 $ 148.4 $ 158.3