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Accumulated Other Comprehensive Income (Loss) - Schedule of Changes in Accumulated Other Comprehensive Income (Loss) by Component (Details) - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Accumulated Other Comprehensive Income (Loss) [Roll Forward]    
Balance at beginning of period $ 2,850.7  
Total other comprehensive income (loss), net of tax 32.9 $ 19.7
Balance at end of period 2,932.6  
Employee Pension and Postretirement Benefits, Net of Tax    
Accumulated Other Comprehensive Income (Loss) [Roll Forward]    
Balance at beginning of period (95.9) (69.4)
Amounts reclassified from accumulated other comprehensive income (loss) 1.2 0.7
Total other comprehensive income (loss), net of tax 1.2 0.7
Balance at end of period (94.7) (68.7)
Cumulative Translation Adjustments    
Accumulated Other Comprehensive Income (Loss) [Roll Forward]    
Balance at beginning of period (102.1) (132.5)
Other comprehensive income (loss) before reclassifications 31.8 19.5
Total other comprehensive income (loss), net of tax 31.8 19.5
Balance at end of period (70.3) (113.0)
Derivative Instruments, Net of Tax    
Accumulated Other Comprehensive Income (Loss) [Roll Forward]    
Balance at beginning of period (0.4) 0.3
Other comprehensive income (loss) before reclassifications (0.1) (0.5)
Total other comprehensive income (loss), net of tax (0.1) (0.5)
Balance at end of period (0.5) (0.2)
Accumulated Other Comprehensive Income (Loss)    
Accumulated Other Comprehensive Income (Loss) [Roll Forward]    
Balance at beginning of period (198.4) (201.6)
Other comprehensive income (loss) before reclassifications 31.7 19.0
Amounts reclassified from accumulated other comprehensive income (loss) 1.2 0.7
Total other comprehensive income (loss), net of tax 32.9 19.7
Balance at end of period $ (165.5) $ (181.9)