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Property and Equipment, net (Details) - USD ($)
$ in Thousands
9 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Sep. 30, 2020
Property, Plant and Equipment [Line Items]      
Right-of-use assets for finance leases $ 359   $ 359
Property and equipment and Right-of-use assets for finance leases, gross 304,018   255,106
Less: Accumulated depreciation and amortization (186,528)   (182,363)
Property and equipment and Right-of-use assets for finance leases, net 117,490   72,743
Total purchase price 54,245 $ 7,190  
Land      
Property, Plant and Equipment [Line Items]      
Property and equipment, gross 8,355   3,189
Purchase price allocation 5,100    
Building and building improvements      
Property, Plant and Equipment [Line Items]      
Property and equipment, gross 68,305   28,046
Purchase price allocation $ 40,100    
Building and building improvements | Minimum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 3 years    
Building and building improvements | Maximum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 35 years    
Leasehold improvements      
Property, Plant and Equipment [Line Items]      
Property and equipment, gross $ 64,320   62,899
Leasehold improvements | Minimum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 1 year    
Leasehold improvements | Maximum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 28 years    
Training equipment      
Property, Plant and Equipment [Line Items]      
Property and equipment, gross $ 91,032   91,731
Training equipment | Minimum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 3 years    
Training equipment | Maximum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 10 years    
Office and computer equipment      
Property, Plant and Equipment [Line Items]      
Property and equipment, gross $ 31,536   33,524
Office and computer equipment | Minimum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 3 years    
Office and computer equipment | Maximum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 10 years    
Curriculum development      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 5 years    
Property and equipment, gross $ 19,692   19,692
Software developed for internal use      
Property, Plant and Equipment [Line Items]      
Property and equipment, gross $ 11,959   11,951
Software developed for internal use | Minimum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 1 year    
Software developed for internal use | Maximum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 5 years    
Vehicles      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 5 years    
Property and equipment, gross $ 1,460   1,502
Right of use assets for finance leases | Minimum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 2 years    
Right of use assets for finance leases | Maximum      
Property, Plant and Equipment [Line Items]      
Depreciable Lives (in years) 3 years    
Construction in progress      
Property, Plant and Equipment [Line Items]      
Property and equipment, gross $ 7,000   $ 2,213
Land and building and building improvements      
Property, Plant and Equipment [Line Items]      
Total purchase price $ 45,200