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Business Segment Information - Sales and Operating Results (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Sales and operating results of reportable segments    
Sales $ 1,981.0 $ 1,857.3
Purchase accounting depreciation and amortization (26.0) (26.1)
Corporate and other (27.3) (29.4)
Non-operating pension and postretirement benefit credit 12.4 4.4
Change in fair value of investments 140.6 7.6
Interest expense, net (32.8) (29.1)
Income before income taxes 467.9 282.5
Operating Segments    
Sales and operating results of reportable segments    
Segment operating earnings 401.0 355.1
Intelligent Devices    
Sales and operating results of reportable segments    
Sales 936.2 900.3
Intelligent Devices | Operating Segments    
Sales and operating results of reportable segments    
Segment operating earnings 209.4 213.0
Software & Control    
Sales and operating results of reportable segments    
Sales 573.3 513.9
Software & Control | Operating Segments    
Sales and operating results of reportable segments    
Segment operating earnings 167.3 117.6
Lifecycle Services    
Sales and operating results of reportable segments    
Sales 471.5 443.1
Lifecycle Services | Operating Segments    
Sales and operating results of reportable segments    
Segment operating earnings $ 24.3 $ 24.5