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Commitments and Contingencies - Additional Information (Detail)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2021
USD ($)
Air-craft
Jun. 30, 2020
USD ($)
Jun. 30, 2021
USD ($)
Air-craft
Engine
Lawsuit
Jun. 30, 2020
USD ($)
Purchase Commitment Excluding Longterm Commitment [Line Items]        
Number of leased aircraft | Air-craft 17   17  
Aggregate rental expense under all operating aircraft, equipment and facility leases | $ $ 13.9 $ 15.6 $ 41.6 $ 51.0
Weighted average remaining lease term Operating leases 2 years 10 months 24 days   2 years 10 months 24 days  
Weighted average discount rate Operating leases 4.20%   4.20%  
IPO [Member]        
Purchase Commitment Excluding Longterm Commitment [Line Items]        
Number of putative class action lawsuits | Lawsuit     2  
Superior Court of State of Arizona [Member] | IPO [Member]        
Purchase Commitment Excluding Longterm Commitment [Line Items]        
Number of putative class action lawsuits | Lawsuit     1  
U.S. District Court of Arizona [Member] | IPO [Member]        
Purchase Commitment Excluding Longterm Commitment [Line Items]        
Number of putative class action lawsuits | Lawsuit     1  
CF34-8C5 or CF34-8E5 Engines [Member] | Letter Agreement No. 13-3 [Member]        
Purchase Commitment Excluding Longterm Commitment [Line Items]        
Number of new spare engines to be acquired | Engine     10  
New spare engines delivery month and year description     The Company agreed to purchase and take delivery of ten (10) new CF34-8C5 or CF34-8E5 engines with delivery dates starting from July 1, 2021 through November 1, 2022. During the quarter ended March 31, 2021, a $7.0 million non-refundable purchase deposit was made for the first five engines to be delivered in calendar 2021.  
Purchase deposit | $ $ 7.0   $ 7.0  
Number of new spare engines to be delivered | Engine     5  
Purchase commitment amount | $ $ 50.0   $ 50.0