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Restructuring and Impairment Charges - Summary of Restructuring Accruals and Certain Facility Closures (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Restructuring Reserve [Roll Forward]      
Restructuring Reserve, Current $ 0 $ 7,856 $ 8,191
Payments for Restructuring (7,856) (8,291)  
Employee separation      
Restructuring Reserve [Roll Forward]      
Expense additions $ 0 $ 7,956 $ 11,800