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Stock-Based Compensation - Summary of Stock-Based Compensation Expenses (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Stock-based compensation expenses $ 202.3 $ 125.0 $ 113.2
Employee stock investment plan [Member]      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Stock-based compensation expenses 6.7 5.2 5.8
Phantom Share Units (PSUs)      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Stock-based compensation expenses 30.4 2.7 1.7
Stock and stock unit awards [Member]      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Stock-based compensation expenses $ 165.2 $ 117.1 $ 105.7