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Summary of Significant Accounting Policies - Narrative (Details) - USD ($)
shares in Thousands, $ in Thousands
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Dec. 31, 2014
Oct. 24, 2011
Significant Accounting Policies [Line Items]          
Advertising costs incurred $ 17,200 $ 16,500 $ 19,400    
Total comprehensive income (loss), net of taxes 203,900 (181,449) (136,204)    
Foreign currency transaction gains (losses) $ (800) $ (1,100) $ (1,400)    
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount 1,047 528 328    
Sales and marketing $ 303,503 $ 311,712 $ 324,370    
2.75% Convertible Debentures due November 1, 2031          
Significant Accounting Policies [Line Items]          
Convertible debentures, interest rate 2.75% 2.75%   2.75% 2.75%