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Nature of Business and Summary of Significant Accounting Policies - Additional Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Property, Plant and Equipment [Line Items]      
Other investments $ 1,643 $ 1,697  
Depreciation and amortization, property and equipment 24,200 22,600 $ 23,000
Foreign exchange gains (losses) 0 400 1,100
Advertising and promotion costs $ 3,600 $ 4,100 $ 3,100
Minimum      
Property, Plant and Equipment [Line Items]      
Stock option awards vesting period 3 years    
Maximum      
Property, Plant and Equipment [Line Items]      
Stock option awards vesting period 4 years    
Software Development | Minimum      
Property, Plant and Equipment [Line Items]      
Property and equipment, estimated useful life 2 years    
Software Development | Maximum      
Property, Plant and Equipment [Line Items]      
Property and equipment, estimated useful life 3 years