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Fair value Measurements - Fair Values of Financial Assets and Liabilities, Including Derivative Financial Instruments (Detail) - USD ($)
$ in Thousands
Dec. 31, 2018
Dec. 31, 2017
Earning assets:    
Accrued Interest Receivable, Fair Value Disclosure, Different Between Carrying Value And Fair Value $ 93,861  
Income taxes receivable, net 41,570 $ 0
Derivative instruments 701 0
Total earning assets, difference 2,152,077 2,105,495
Interest-bearing liabilities:    
Long-term borrowings, difference 5,373 (24,601)
Total interest-bearing liabilities, difference 63,304 (34,688)
Excess of net asset fair value over carrying value 2,215,381 2,070,807
Certificates of Deposit    
Interest-bearing liabilities:    
Certificates of deposits, difference 38,780 (10,087)
Fair Value    
Earning assets:    
Cash and cash equivalents 2,559,106 1,534,339
Available-for-sale investments 176,245 244,088
Accrued interest receivable 1,285,842 967,482
Income taxes receivable, net 39,207 168,011
Derivative instruments 2,090 812
Total 28,391,625 23,587,868
Interest-bearing liabilities:    
Short-term borrowings 0 0
Long-term borrowings 4,278,931 3,299,871
Accrued interest payable 61,341 35,363
Derivative instruments 2,032 2,584
Total interest-bearing liabilities 23,226,455 18,852,235
Fair Value | Money-market and savings accounts    
Interest-bearing liabilities:    
Deposits 9,370,957 8,470,209
Fair Value | Certificates of Deposit    
Interest-bearing liabilities:    
Deposits 9,513,194 7,044,208
Carrying Value    
Earning assets:    
Cash and cash equivalents 2,559,106 1,534,339
Available-for-sale investments 176,245 244,088
Accrued interest receivable 1,191,981 967,482
Income taxes receivable, net 39,207 168,011
Derivative instruments 2,090 812
Total 26,239,548 21,482,373
Interest-bearing liabilities:    
Short-term borrowings 0 0
Long-term borrowings 4,284,304 3,275,270
Accrued interest payable 61,341 35,363
Derivative instruments 2,032 2,584
Total interest-bearing liabilities 23,289,759 18,817,547
Carrying Value | Money-market and savings accounts    
Interest-bearing liabilities:    
Deposits 9,390,108 8,470,209
Certificates of deposits, difference 19,151  
Carrying Value | Certificates of Deposit    
Interest-bearing liabilities:    
Deposits 9,551,974 7,034,121
Private Education Loans    
Earning assets:    
Loans held for investment, net, difference 2,018,576 2,082,214
Private Education Loans | Fair Value    
Earning assets:    
Private Education Loans 22,313,419 19,327,044
Private Education Loans | Carrying Value    
Earning assets:    
Private Education Loans 20,294,843 17,244,830
FFELP Loans    
Earning assets:    
Loans held for investment, net, difference 11,296 17,054
FFELP Loans | Fair Value    
Earning assets:    
Private Education Loans 859,185 946,213
FFELP Loans | Carrying Value    
Earning assets:    
Private Education Loans 847,889 929,159
Personal Loans    
Earning assets:    
Loans held for investment, net, difference 28,344 6,227
Personal Loans | Fair Value    
Earning assets:    
Private Education Loans 1,156,531 399,879
Personal Loans | Carrying Value    
Earning assets:    
Private Education Loans $ 1,128,187 $ 393,652