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Fair Value Measurements and Derivative Instruments - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Interest Rate Contracts    
Derivative [Line Items]    
Notional amount $ 500.0 $ 500.0
Interest Rate Swaps    
Derivative [Line Items]    
Net deferred gain on interest rate swap net of taxes expected to be recognized over the next 12 months $ 2.2  
Maximum    
Derivative [Line Items]    
Percentage of participants compensation deferred 70.00%