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Allowance for Loan Losses - Age Analysis of Past Due Loans Delinquencies (Detail) - USD ($)
$ in Thousands
Sep. 30, 2018
Jun. 30, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Dec. 31, 2016
Loans in repayment and percentage of each status:            
Private Education Loans allowance for losses $ (328,974) $ (295,277) $ (251,475) $ (229,919) $ (207,448) $ (184,701)
Loans held for investment, net 21,978,903   18,567,641      
Private Education Loans            
Loans in repayment and percentage of each status:            
Private Education Loans deferred origination costs 65,499   56,378      
Total Private Education Loans, gross 20,239,991   17,432,167      
Private Education Loans allowance for losses (274,684)   (243,715)      
Loans held for investment, net 20,030,806   17,244,830      
Private Education Loans | Consumer Portfolio Segment            
Accounts, Notes, Loans and Financing Receivable [Line Items]            
Loans in-school/grace/deferment 5,936,033   4,757,732      
Loans in forbearance 488,543   468,402      
Loans in repayment and percentage of each status:            
Loans current $ 13,492,029   $ 11,911,128      
Loans current (as a percentage) 97.70%   97.60%      
Total TDR loans in repayment $ 13,815,415   $ 12,206,033      
Total TDR loans in repayment (as a percentage) 100.00%   100.00%      
Private Education Loans deferred origination costs $ 65,499   $ 56,378      
Total Private Education Loans, gross 20,305,490   17,488,545      
Total Private Education Loans, gross 20,239,991   17,432,167      
Private Education Loans allowance for losses (274,684)   (243,715)      
Loans held for investment, net $ 20,030,806   $ 17,244,830      
Percentage of Private Education Loans in repayment 68.30%   70.00%      
Delinquencies as a percentage of Private Education Loans in repayment 2.30%   2.40%      
Loans in forbearance as a percentage of Private Education Loans in repayment and forbearance 3.40%   3.70%      
Private Education Loans | Consumer Portfolio Segment | Loans delinquent 31-60 days            
Loans in repayment and percentage of each status:            
Loans delinquent $ 198,987   $ 179,002      
Loans delinquent (as a percentage) 1.40%   1.50%      
Private Education Loans | Consumer Portfolio Segment | Loans delinquent 61-90 days            
Loans in repayment and percentage of each status:            
Loans delinquent $ 82,358   $ 78,292      
Loans delinquent (as a percentage) 0.60%   0.60%      
Private Education Loans | Consumer Portfolio Segment | Loans delinquent, greater than 90 days            
Loans in repayment and percentage of each status:            
Loans delinquent $ 42,041   $ 37,611      
Loans delinquent (as a percentage) 0.30%   0.30%      
Personal Loans            
Loans in repayment and percentage of each status:            
Private Education Loans deferred origination costs $ 164   $ 0      
Total Private Education Loans, gross 1,133,005   400,280      
Private Education Loans allowance for losses (53,210)   (6,628)      
Loans held for investment, net 1,079,959   393,652      
Personal Loans | Consumer Portfolio Segment            
Loans in repayment and percentage of each status:            
Loans current $ 1,123,597   $ 398,988      
Loans current (as a percentage) 99.20%   99.70%      
Total TDR loans in repayment $ 1,133,005   $ 400,280      
Total TDR loans in repayment (as a percentage) 100.00%   100.00%      
Private Education Loans deferred origination costs $ 164   $ 0      
Total Private Education Loans, gross 1,133,169   400,280      
Total Private Education Loans, gross 1,133,005   400,280      
Private Education Loans allowance for losses (53,210)   (6,628)      
Loans held for investment, net $ 1,079,959   $ 393,652      
Delinquencies as a percentage of Private Education Loans in repayment 0.80%   0.30%      
Personal Loans | Consumer Portfolio Segment | Loans delinquent 31-60 days            
Loans in repayment and percentage of each status:            
Loans delinquent $ 4,321   $ 761      
Loans delinquent (as a percentage) 0.40%   0.20%      
Personal Loans | Consumer Portfolio Segment | Loans delinquent 61-90 days            
Loans in repayment and percentage of each status:            
Loans delinquent $ 2,804   $ 340      
Loans delinquent (as a percentage) 0.20%   0.10%      
Personal Loans | Consumer Portfolio Segment | Loans delinquent, greater than 90 days            
Loans in repayment and percentage of each status:            
Loans delinquent $ 2,283   $ 191      
Loans delinquent (as a percentage) 0.20%   0.00%