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Property and Equipment (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Property, Plant and Equipment [Abstract]      
Computer hardware and software $ 313,967 $ 324,765  
Furniture and fixtures 28,445 20,737  
Leasehold improvements 97,657 47,272  
Gross property and equipment 440,069 392,774  
Accumulated depreciation and amortization (334,538) (312,161)  
Net property and equipment 105,531 80,613  
Depreciation expense $ 26,700 $ 29,400 $ 28,000