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Allowance for Loan Losses - Allowance for Credit Losses and Recorded Investments in Loans (Detail)
$ in Thousands
3 Months Ended
Mar. 31, 2017
USD ($)
charge_off
Mar. 31, 2016
USD ($)
charge_off
Allowance for Loan Losses    
Allowance at beginning of period $ 184,701 $ 112,507
Total provision 26,792 34,160
Net charge-offs:    
Charge-offs (26,445) (19,387)
Recoveries 3,259 1,044
Net charge-offs (23,186) (18,343)
Loan sales (1,221) (2,075)
Allowance at end of period 187,086 126,249
Allowance:    
Ending balance: individually evaluated for impairment 87,150 49,212
Ending balance: collectively evaluated for impairment 99,936 77,037
Loans:    
Ending balance: individually evaluated for impairment 701,860 318,094
Ending balance: collectively evaluated for impairment 15,997,889 12,881,802
FFELP Loans    
Allowance for Loan Losses    
Allowance at beginning of period 2,171 3,691
Total provision (316) 321
Net charge-offs:    
Charge-offs (218) (383)
Recoveries 0 0
Net charge-offs (218) (383)
Loan sales 0 0
Allowance at end of period 1,637 3,629
Allowance:    
Ending balance: individually evaluated for impairment 0 0
Ending balance: collectively evaluated for impairment 1,637 3,629
Loans:    
Ending balance: individually evaluated for impairment 0 0
Ending balance: collectively evaluated for impairment $ 989,393 $ 1,088,026
Net charge-offs as a percentage of average loans in repayment (annualized) 0.11% 0.19%
Allowance as a percentage of the ending total loan balance 0.17% 0.33%
Allowance as a percentage of the ending loans in repayment 0.22% 0.45%
Allowance coverage of net charge-offs (annualized) | charge_off 1.88 2.37
Ending total loans, gross $ 989,393 $ 1,088,026
Average loans in repayment 771,435 804,690
Ending loans in repayment 757,052 803,378
Private Education Loans    
Allowance for Loan Losses    
Allowance at beginning of period 182,472 108,816
Total provision 26,820 33,839
Net charge-offs:    
Charge-offs (26,227) (19,004)
Recoveries 3,259 1,044
Net charge-offs (22,968) (17,960)
Loan sales (1,221) (2,075)
Allowance at end of period 185,103 122,620
Allowance:    
Ending balance: individually evaluated for impairment 87,150 49,212
Ending balance: collectively evaluated for impairment 97,953 73,408
Loans:    
Ending balance: individually evaluated for impairment 701,860 318,094
Ending balance: collectively evaluated for impairment $ 14,952,994 $ 11,793,776
Net charge-offs as a percentage of average loans in repayment (annualized) 0.89% 0.95%
Allowance as a percentage of the ending total loan balance 1.18% 1.01%
Allowance as a percentage of the ending loans in repayment 1.76% 1.56%
Allowance coverage of net charge-offs (annualized) | charge_off 2.01 1.71
Ending total loans, gross $ 15,654,854 $ 12,111,870
Average loans in repayment 10,265,530 7,534,234
Ending loans in repayment 10,526,782 $ 7,843,076
Personal Loans    
Allowance for Loan Losses    
Allowance at beginning of period 58  
Total provision 288  
Net charge-offs:    
Charge-offs 0  
Recoveries 0  
Net charge-offs  
Loan sales 0  
Allowance at end of period 346  
Allowance:    
Ending balance: individually evaluated for impairment 0  
Ending balance: collectively evaluated for impairment 346  
Loans:    
Ending balance: individually evaluated for impairment 0  
Ending balance: collectively evaluated for impairment $ 55,502  
Net charge-offs as a percentage of average loans in repayment (annualized) 0.00%  
Allowance as a percentage of the ending total loan balance 0.62%  
Allowance as a percentage of the ending loans in repayment 0.62%  
Allowance coverage of net charge-offs (annualized) | charge_off 0.00  
Ending total loans, gross $ 55,502  
Average loans in repayment 35,830  
Ending loans in repayment $ 55,502