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Long-Term Debt, Finance Leases, and Other Borrowings - Additional Information (Detail)
3 Months Ended 6 Months Ended 9 Months Ended
Jan. 11, 2024
USD ($)
Sep. 06, 2023
USD ($)
Dec. 27, 2022
USD ($)
Oct. 30, 2020
USD ($)
$ / shares
shares
Mar. 31, 2024
USD ($)
$ / shares
Mar. 31, 2024
USD ($)
$ / shares
Jun. 30, 2023
USD ($)
Jun. 14, 2024
USD ($)
Sep. 30, 2023
USD ($)
Dec. 31, 2020
USD ($)
Debt Instrument [Line Items]                    
Property and equipment-gross         $ 792,193,000 $ 792,193,000     $ 1,049,203,000  
Long-Term Debt         393,413,000 393,413,000     $ 528,278,000  
Gain on investments         $ 7,230,000 $ 7,230,000        
Warrants of common stock exercise price | $ / shares         $ 3.98 $ 3.98        
Treasury Loan [Member] | Maximum [Member]                    
Debt Instrument [Line Items]                    
Calculated collateral coverage ratio       1.55            
Treasury Loan [Member] | Minimum [Member]                    
Debt Instrument [Line Items]                    
Additional collateral coverage ratio       1.55            
Loan Agreement [Member]                    
Debt Instrument [Line Items]                    
Warrants to purchase shares of common stock | shares       4,899,497            
Warrants of common stock exercise price | $ / shares       $ 3.98            
Revolving Credit Facility [Member]                    
Debt Instrument [Line Items]                    
Repayments of long term debt $ 2,100,000                  
Permitted amount to redraw from existing credit facility   $ 7,900,000                
Revolving Credit Facility [Member] | Subsequent Event [Member]                    
Debt Instrument [Line Items]                    
Line of credit available to draw               $ 2,200,000    
Revolving Credit Facility [Member] | Maximum [Member]                    
Debt Instrument [Line Items]                    
Revolving commitments   50,700,000                
Revolving Credit Facility [Member] | Minimum [Member]                    
Debt Instrument [Line Items]                    
Revolving commitments   $ 30,700,000                
United [Member]                    
Debt Instrument [Line Items]                    
Repayments of long term debt 10,500,000                  
United Capacity Purchase Agreement [Member]                    
Debt Instrument [Line Items]                    
Repayments of long term debt 10,500,000                  
Gain on investments $ 7,200,000                  
United Capacity Purchase Agreement [Member] | Revolving Credit Facility [Member]                    
Debt Instrument [Line Items]                    
Long term debt, basis spread on variable rate   3.50% 3.50%              
Revolving loan     $ 10,500,000              
Covenant capping restricted payments     5,000,000              
Repayments of lines of credit         $ 10,500,000          
Revolving commitments     $ 30,700,000              
Rental coverage ratio     1              
United Capacity Purchase Agreement [Member] | Revolving Credit Facility [Member] | Minimum [Member]                    
Debt Instrument [Line Items]                    
Amount required             $ 15,000,000      
United Capacity Purchase Agreement [Member] | Revolving Credit Facility [Member] | SOFR [Member]                    
Debt Instrument [Line Items]                    
Long term debt, basis spread on variable rate   4.50% 4.50%              
United Capacity Purchase Agreement [Member] | United [Member]                    
Debt Instrument [Line Items]                    
Percentage of controllable completion factor           99.30%        
United Capacity Purchase Agreement [Member] | United [Member] | Revolving Credit Facility [Member]                    
Debt Instrument [Line Items]                    
Deemed prepayment, outstanding         4,500,000 $ 4,500,000        
Amount funded by company             $ 25,500,000      
Additional prepayment with potential forgiveness         15,000,000 15,000,000        
Equipment Notes [Member]                    
Debt Instrument [Line Items]                    
Long-Term Debt         97,300,000 $ 97,300,000        
Secured Term Loan Facility [Member] | Loan Agreement [Member]                    
Debt Instrument [Line Items]                    
Secured term loan facility, maximum borrowing capacity       $ 200,000,000.0            
Debt instrument, maturity date           Oct. 30, 2025        
Secured Term Loan Facility [Member] | Loan Agreement [Member] | Treasury Loan [Member]                    
Debt Instrument [Line Items]                    
Long term debt, basis spread on variable rate       3.50%            
Secured term loan facility, amount borrowed                   $ 195,000,000.0
Secured term loan facility, additional amount borrowed         0 $ 0        
Debt instrument, maturity date       Oct. 30, 2025            
Aircraft and Equipment [Member] | Pledged as Collateral [Member]                    
Debt Instrument [Line Items]                    
Property and equipment-gross         $ 528,000,000 $ 528,000,000