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Property and Equipment, net (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Property, Plant and Equipment [Line Items]    
Property and equipment, gross $ 308,905 $ 290,354
Less accumulated depreciation and amortization (194,057) (183,690)
Property and equipment, net 114,848 106,664
Land [Member]    
Property, Plant and Equipment [Line Items]    
Property and equipment, gross 3,189 3,189
Building and Building Improvements [Member]    
Property, Plant and Equipment [Line Items]    
Property and equipment, gross $ 81,304 79,712
Building and Building Improvements [Member] | Minimum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 30 years  
Building and Building Improvements [Member] | Maximum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 35 years  
Leasehold improvements [Member]    
Property, Plant and Equipment [Line Items]    
Property and equipment, gross $ 54,310 41,825
Leasehold improvements [Member] | Minimum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 1 year  
Leasehold improvements [Member] | Maximum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 28 years  
Training equipment [Member]    
Property, Plant and Equipment [Line Items]    
Property and equipment, gross $ 95,795 94,817
Training equipment [Member] | Minimum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 3 years  
Training equipment [Member] | Maximum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 10 years  
Office And Computer Equipment [Member]    
Property, Plant and Equipment [Line Items]    
Property and equipment, gross $ 36,714 36,458
Office And Computer Equipment [Member] | Minimum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 3 years  
Office And Computer Equipment [Member] | Maximum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 10 years  
Curriculum development [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 5 years  
Property and equipment, gross $ 19,692 19,713
Software developed for internal use [Member]    
Property, Plant and Equipment [Line Items]    
Property and equipment, gross $ 12,251 11,772
Software developed for internal use [Member] | Minimum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 1 year  
Software developed for internal use [Member] | Maximum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 5 years  
Vehicles [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 5 years  
Property and equipment, gross $ 1,400 1,269
Construction in progress [Member]    
Property, Plant and Equipment [Line Items]    
Property and equipment, gross $ 4,250 $ 1,599