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Supplemental Cash Flow Information (Details) - USD ($)
$ in Thousands
6 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Sep. 30, 2024
Sep. 30, 2023
Supplemental disclosure of non-cash activity:        
Increase in operating lease right-of-use assets $ 594 $ 0    
Increase in operating lease liabilities 594 0    
Supplemental disclosure of cash activity:        
Interest payments 39,414 34,555    
Income tax payments 6,606 7,010    
Reconciliation of cash, cash equivalents, and restricted cash:        
Cash and cash equivalents 85,082 132,867 $ 203,907  
Restricted cash 23,386 32,527 38,703  
Total cash, cash equivalents, and restricted cash shown in the statement of cash flows $ 108,468 $ 165,394 $ 242,610 $ 386,289