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Business Segment Information (Reconciliation of Operating Income) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
May 01, 2019
Jun. 30, 2020
Jun. 30, 2019
Mar. 31, 2019
Jun. 30, 2020
Jun. 30, 2019
Sep. 30, 2019
Segment Reporting Information [Line Items]              
Operating income   $ 539.2 $ 569.7   $ 1,677.4 $ 1,541.2  
Facility closure   0.0 0.0 $ (29.0) 0.0 (29.0)  
Cost reduction actions   0.0 (25.5)   0.0 (25.5) $ (25.5)
Gain on exchange of equity affiliate investments $ 29.1 0.0 29.1   0.0 29.1  
Company headquarters relocation income (expense)   0.0 0.0   33.8 0.0  
Segment Total              
Segment Reporting Information [Line Items]              
Operating income   539.2 566.1   1,643.6 1,566.6  
Segment Reconciling Items              
Segment Reporting Information [Line Items]              
Facility closure   0.0 0.0   0.0 (29.0)  
Cost reduction actions   0.0 (25.5)   0.0 (25.5)  
Gain on exchange of equity affiliate investments   0.0 29.1   0.0 29.1  
Company headquarters relocation income (expense)   $ 0.0 $ 0.0   $ 33.8 $ 0.0