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Accumulated Other Comprehensive Income (Loss) - Schedule of Changes in Accumulated Other Comprehensive Income (Loss) by Component (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year $ 2,850.7    
Total other comprehensive income (loss), net of tax 67.4 $ 3.2 $ (85.7)
Balance at end of year 3,247.8 2,850.7  
Employee Pension and Postretirement Benefits, Net of Tax      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year (95.9) (69.4) (10.9)
Other comprehensive income (loss) before reclassifications 57.1 (29.3) (49.5)
Amounts reclassified from accumulated other comprehensive income (loss) 4.6 2.8 0.1
Total other comprehensive income (loss), net of tax 61.7 (26.5) (49.4)
Balance at end of year (34.2) (95.9) (69.4)
Employee Pension and Postretirement Benefits, Net of Tax | Revision of Prior Period, Accounting Standards Update, Adjustment      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year   (20.0)  
Balance at end of year     (20.0)
Employee Pension and Postretirement Benefits, Net of Tax | Accounting Standards Update 2018-02      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year   (9.1)  
Balance at end of year     (9.1)
Cumulative Translation Adjustments      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year (102.1) (132.5) (96.2)
Other comprehensive income (loss) before reclassifications 3.8 30.4 (36.3)
Total other comprehensive income (loss), net of tax 3.8 30.4 (36.3)
Balance at end of year (98.3) (102.1) (132.5)
Cumulative Translation Adjustments | Revision of Prior Period, Accounting Standards Update, Adjustment      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year   (96.2)  
Balance at end of year     (96.2)
Derivative Instruments, Net of Tax      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year (0.4) 0.3 0.3
Other comprehensive income (loss) before reclassifications 1.5 (0.5)  
Amounts reclassified from accumulated other comprehensive income (loss) 0.4 (0.2)  
Total other comprehensive income (loss), net of tax 1.9 (0.7)  
Balance at end of year 1.5 (0.4) 0.3
Derivative Instruments, Net of Tax | Revision of Prior Period, Accounting Standards Update, Adjustment      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year   0.3  
Balance at end of year     0.3
Accumulated Other Comprehensive Income (Loss)      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year (198.4) (201.6) (106.8)
Other comprehensive income (loss) before reclassifications 62.4 0.6 (85.8)
Amounts reclassified from accumulated other comprehensive income (loss) 5.0 2.6 0.1
Total other comprehensive income (loss), net of tax 67.4 3.2 (85.7)
Balance at end of year $ (131.0) (198.4) (201.6)
Accumulated Other Comprehensive Income (Loss) | Revision of Prior Period, Accounting Standards Update, Adjustment      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year   (115.9)  
Balance at end of year     (115.9)
Accumulated Other Comprehensive Income (Loss) | Accounting Standards Update 2018-02      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Balance at beginning of year   $ (9.1)  
Balance at end of year     $ (9.1)