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Long-Term Debt - Schedule of Long-Term Debt (Parenthetical) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Jun. 02, 2020
Debt Instrument [Line Items]        
Debt instrument, deferred issuance costs     $ 627  
Senior Credit Facilities        
Debt Instrument [Line Items]        
Debt Instrument, unamortized discount $ 1,310 $ 1,829    
Debt instrument, deferred issuance costs $ 158 $ 221    
Debt instrument, effective interest rate 5.37% 2.86%    
3.00% Convertible Senior Notes Due 2025        
Debt Instrument [Line Items]        
Debt instrument, interest rate 3.00%     3.00%
Debt instrument, maturity year 2025      
Debt Instrument, unamortized discount $ 11,264 $ 15,019    
Debt instrument, deferred issuance costs $ 2,832 $ 3,776    
Debt instrument, effective interest rate 6.29%