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Commitments and Contingencies - Narrative (Details)
 1 Months Ended 12 Months Ended
Apr. 30, 2015
option
Sep. 30, 2020
USD ($)
Sep. 30, 2019
USD ($)
Sep. 30, 2018
USD ($)
Operating Leased Assets [Line Items]        
Educational services and facilities   $ 155,932,000 $ 178,317,000 $ 182,589,000
Licensing agreement, initial term 4 years      
Number of renewal options | option 3      
Licensing agreement, term 7 years      
Maximum License costs over seven years   2,300,000    
Net prepaid expenses from excess of credits earned over credits used   5,500,000 6,400,000  
Accrued tool sets   3,148,000 2,586,000  
Liability to vendor for vouchers redeemed by students   $ 1,900,000 2,100,000  
Maximum contribution per employee percentage of regular compensation   75.00%    
Maximum contribution per employee percentage of incentive compensation   100.00%    
Maximum contribution per non-employee percentage of cash compensation   100.00%    
Deferred compensation contributions, vesting period   5 years    
Obligation under the plan   $ 3,000,000.0 4,300,000  
Cash surrender value of life insurance policies   3,300,000 4,800,000  
Minimum        
Operating Leased Assets [Line Items]        
Annual payments   1,000,000.0    
Maximum        
Operating Leased Assets [Line Items]        
Annual payments   1,500,000    
Surety Bond        
Operating Leased Assets [Line Items]        
Debt instrument, face amount   16,800,000    
Licensing Agreement 1        
Operating Leased Assets [Line Items]        
Educational services and facilities   500,000 600,000 700,000
Licensing Agreement 2        
Operating Leased Assets [Line Items]        
Educational services and facilities   1,200,000 1,400,000 1,600,000
Required minimum royalty payment   1,000,000.0    
Licensing Agreement 3        
Operating Leased Assets [Line Items]        
Educational services and facilities   $ 100,000 100,000 100,000
Minimum notification of intent to terminate agreement   90 days    
Licensing Agreement 4        
Operating Leased Assets [Line Items]        
Educational services and facilities   $ 300,000 $ 200,000 $ 400,000