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Allowance for Loan Losses - Loan Status and Aging of Past Due TDR Loans (Detail) - USD ($)
$ in Thousands
Mar. 31, 2019
Dec. 31, 2018
Mar. 31, 2018
Dec. 31, 2017
TDR loans in repayment and percentage of each status:        
Allowance for loan losses $ (358,325) $ (341,121) $ (272,123) $ (251,475)
Loans held for investment, net 23,498,386 22,270,919    
Student Loan | Consumer Portfolio Segment | Troubled Debt Restructured Loans        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
TDR loans in in-school/grace/deferment 77,327 69,212    
TDR loans in forbearance 79,410 69,796    
TDR loans in repayment and percentage of each status:        
Loans current 1,044,676 994,411    
Total TDR loans in repayment $ 1,170,931 $ 1,118,848    
Loans current (as a percentage) 89.20% 88.90%    
Total TDR loans in repayment 100.00% 100.00%    
Total Private Education Loans, gross $ 1,327,668 $ 1,257,856    
Student Loan | Consumer Portfolio Segment | Loans delinquent 31-60 days | Troubled Debt Restructured Loans        
TDR loans in repayment and percentage of each status:        
Loans delinquent $ 61,698 $ 63,074    
Loans delinquent (as a percentage) 5.30% 5.60%    
Student Loan | Consumer Portfolio Segment | Loans delinquent 61-90 days | Troubled Debt Restructured Loans        
TDR loans in repayment and percentage of each status:        
Loans delinquent $ 39,349 $ 36,804    
Loans delinquent (as a percentage) 3.40% 3.30%    
Student Loan | Consumer Portfolio Segment | Loans delinquent, greater than 90 days | Troubled Debt Restructured Loans        
TDR loans in repayment and percentage of each status:        
Loans delinquent $ 25,208 $ 24,559    
Loans delinquent (as a percentage) 2.10% 2.20%