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Long-Term Debt - Schedule of Interest Expense Related to Notes (Details) - 2028 and 2025 Notes - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Debt Instrument [Line Items]      
Contractual interest expense $ 5,383 $ 5,246 $ 5,246
Amortization of debt discount 258 3,755 3,527
Amortization of issuance costs 2,119 944 887
Total interest expense related to the Notes $ 7,760 $ 9,945 $ 9,660