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Allowance for Loan and Lease Losses - Narrative (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loans and written loan commitments at fair value under the fair value option $ 865,386 $ 1,016,576    
Loan held for sale 5,456 7,456    
Guaranteed loans 8,396,314 7,787,016    
Allowance for loan losses 64,540 63,503 $ 64,642 $ 57,200
Recoveries 2,955 3,202 4,653  
Unfunded loan commitment        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Reserve for unfunded loan commitments 500 500    
Receivables acquired with deteriorated credit quality        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Guaranteed loans 70,845 92,595    
Allowance for loan losses 1,206 993    
(Improvement) impairment of ASC 310-30 loans 232 (671) (1,056)  
Recoveries   700 $ 1,100  
Loans Guaranteed by US Government Authorities        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Guaranteed loans 168,600 168,300    
Loans Guaranteed by US Government Authorities | Loans And Leases With Allowance For Doubtful Accounts [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Guaranteed loans $ 160,300 $ 168,300