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Long-Term Debt, Finance Leases, and Other Borrowings - Schedule of Long-term Debt (Detail) - USD ($)
$ in Thousands
Dec. 31, 2024
Sep. 30, 2024
Sep. 30, 2023
Debt Instrument [Line Items]      
Gross long-term debt, including current maturities $ 230,608 $ 315,210 $ 538,274
Less unamortized debt issuance costs (1,433) (2,395) (5,083)
Less notes payable warrants (2,114) (2,544) (4,913)
Net long-term debt, including current maturities 227,061 310,271 528,278
Less current portion, net of unamortized debt issuance costs (143,275) (50,455) (163,550)
Net long-term debt 83,786 259,816 364,728
Senior and Subordinated Notes Payable to Secured Parties, Due in Monthly Installments Collateralized by the Underlying Aircraft Through 2027 [Member]      
Debt Instrument [Line Items]      
Gross long-term debt, including current maturities     39,018
Notes Payable to Secured Parties, Due in Semi-annual Installments, Collateralized by the Underlying Aircraft Through 2028 [Member]      
Debt Instrument [Line Items]      
Gross long-term debt, including current maturities 85,469 85,469 108,815
Notes Payable to Secured Parties, Due in Quarterly Installments Collateralized by the Underlying Aircraft Through 2028 [Member]      
Debt Instrument [Line Items]      
Gross long-term debt, including current maturities 0 73,884 90,401
United Bridge Loan Quarterly Collateralized By Underlying Equipment And Investments Through 2024 [Member]      
Debt Instrument [Line Items]      
Gross long-term debt, including current maturities 0   10,500
Other Obligations Due to Financial Institutions, Monthly or Quarterly Collateralized by the Underlying Equipment, Due 2022 Through 2031 [Member]      
Debt Instrument [Line Items]      
Gross long-term debt, including current maturities 0 4,681 67,637
Notes Payable to Financial Institution, Due in Monthly Installments Collateralized by the Underlying Equipment, Through 2024 [Member]      
Debt Instrument [Line Items]      
Gross long-term debt, including current maturities 0   1,075
Notes Payable to Financial Institution, Due in Monthly Installments Collateralized by the Underlying Equipment, Through 2027 [Member]      
Debt Instrument [Line Items]      
Gross long-term debt, including current maturities 0   41,098
Notes Payable to the UST, Quarterly Through 2025 [Member]      
Debt Instrument [Line Items]      
Gross long-term debt, including current maturities 112,121 113,656 139,100
United revolving credit facility quaterly collateralized by underlying equipment and investments through two thousand twenty eight [Member]      
Debt Instrument [Line Items]      
Gross long-term debt, including current maturities $ 33,018 $ 37,520 $ 40,630