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Long-Term Debt, Finance Leases, and Other Borrowings - Schedule of Long-term Debt (Parenthetical) (Detail)
 3 Months Ended 12 Months Ended
Dec. 31, 2024
Sep. 30, 2024
Revolving Credit Facility Quaterly Collateralized By Underlying Equipment And Investments Through Two Thousand Twenty Eight [Member]    
Debt Instrument [Line Items]    
Debt instrument maturity year 2028 2028
Long term debt interest rate description quarterly interest based on SOFR plus interest spread at 4.50  
Revolving Credit Facility Quaterly Collateralized By Underlying Equipment And Investments Through Two Thousand Twenty Eight [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member]    
Debt Instrument [Line Items]    
Long term debt, basis spread on variable rate 4.50%  
Notes Payable to Secured Parties, Due in Semi Annual Installments Collateralized by the Underlying Aircraft Through 2028 [Member]    
Debt Instrument [Line Items]    
Debt instrument maturity year 2028 2028
Long term debt interest rate description due in semi-annual installments, interest based on SOFR plus interest spread at 4.75% to 6.25%  
Notes Payable to Secured Parties, Due in Semi Annual Installments Collateralized by the Underlying Aircraft Through 2028 [Member] | Minimum [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member]    
Debt Instrument [Line Items]    
Long term debt, basis spread on variable rate 4.75%  
Notes Payable to Secured Parties, Due in Semi Annual Installments Collateralized by the Underlying Aircraft Through 2028 [Member] | Maximum [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member]    
Debt Instrument [Line Items]    
Long term debt, basis spread on variable rate 6.25%  
Notes Payable to Secured Parties, Due in Quarterly Installments Collateralized by the Underlying Aircraft Through 2028 [Member]    
Debt Instrument [Line Items]    
Debt instrument maturity year 2028 2028
Long term debt interest rate description due in quarterly installments, interest based on SOFR plus interest at spread 2.20% to 2.32% for senior note & 4.50% for subordinated note  
Notes Payable to Secured Parties, Due in Quarterly Installments Collateralized by the Underlying Aircraft Through 2028 [Member] | Senior Subordinated Notes [Member]    
Debt Instrument [Line Items]    
Long term debt, basis spread on variable rate 4.50%  
Notes Payable to Secured Parties, Due in Quarterly Installments Collateralized by the Underlying Aircraft Through 2028 [Member] | Minimum [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Senior Notes [Member]    
Debt Instrument [Line Items]    
Long term debt, basis spread on variable rate 2.20%  
Notes Payable to Secured Parties, Due in Quarterly Installments Collateralized by the Underlying Aircraft Through 2028 [Member] | Maximum [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Senior Notes [Member]    
Debt Instrument [Line Items]    
Long term debt, basis spread on variable rate 2.32%  
Other Obligations Due to Financial Institutions, Monthly or Quarterly Collateralized by the Underlying Equipment, Due 2022 Through 2031 [Member]    
Debt Instrument [Line Items]    
Long term debt interest rate description monthly and/or quarterly interest due from 2022 through 2031  
Other Obligations Due to Financial Institutions, Monthly or Quarterly Collateralized by the Underlying Equipment, Due 2022 Through 2031 [Member] | Minimum [Member]    
Debt Instrument [Line Items]    
Debt instrument maturity year 2022 2022
Other Obligations Due to Financial Institutions, Monthly or Quarterly Collateralized by the Underlying Equipment, Due 2022 Through 2031 [Member] | Maximum [Member]    
Debt Instrument [Line Items]    
Debt instrument maturity year 2031 2031
Notes Payable to UST, Quarterly, Through 2025 [Member]    
Debt Instrument [Line Items]    
Debt instrument maturity year 2025 2025
Long term debt interest rate description Notes payable to the UST, quarterly interest based on SOFR plus interest spread at 3.50  
Notes Payable to UST, Quarterly, Through 2025 [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member]    
Debt Instrument [Line Items]    
Long term debt, basis spread on variable rate 3.50%