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Property and Equipment (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Property and equipment      
Property and equipment, gross $ 1,080,400 $ 1,046,900  
Accumulated depreciation and amortization (681,500) (665,200)  
Property and equipment, net 398,876 381,672  
Depreciation expense 143,600 163,400 $ 137,500
Building and land      
Property and equipment      
Property and equipment, gross 14,400 11,500  
Leasehold improvements      
Property and equipment      
Property and equipment, gross 351,200 343,200  
Computer systems and equipment      
Property and equipment      
Property and equipment, gross 602,100 557,400  
Furniture and fixtures      
Property and equipment      
Property and equipment, gross $ 112,700 $ 134,800