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Fair Value Measurements - Fair Values of Financial Assets and Liabilities, Including Derivative Financial Instruments (Details) - USD ($)
$ in Thousands
Mar. 31, 2022
Dec. 31, 2021
Earning assets    
Trading investments $ 38,820 $ 37,465
Accrued interest receivable, difference 109,280 100,743
Tax indemnification receivable 215,217 239,578
Total earning assets, difference 3,663,350 3,409,977
Interest-bearing liabilities    
Long-term borrowings, difference 68,688 (69,184)
Total interest-bearing liabilities, difference 174,175 (151,510)
Excess of net asset fair value over carrying value 3,837,525 3,258,467
Money-market and savings accounts    
Interest-bearing liabilities    
Deposits, difference 37,164 (24,799)
Certificates of deposit    
Interest-bearing liabilities    
Deposits, difference 68,323 (57,527)
Fair Value    
Earning assets    
Cash and cash equivalents 3,262,595 4,334,603
Trading investments 38,820 37,465
Available-for-sale investments 2,341,551 2,517,956
Accrued interest receivable 1,368,425 1,306,410
Tax indemnification receivable 8,155 8,047
Derivative instruments 169 1,322
Total earning assets 31,865,460 31,856,320
Interest-bearing liabilities    
Long-term borrowings 5,483,809 6,000,174
Accrued interest payable 61,379 46,600
Derivative instruments 263 252
Total interest-bearing liabilities 26,631,968 26,956,044
Fair Value | Money-market and savings accounts    
Interest-bearing liabilities    
Deposits 11,915,011 11,457,490
Fair Value | Certificates of deposit    
Interest-bearing liabilities    
Deposits 9,171,506 9,451,528
Carrying Value    
Earning assets    
Cash and cash equivalents 3,262,595 4,334,603
Trading investments 38,820 37,465
Available-for-sale investments 2,341,551 2,517,956
Accrued interest receivable 1,259,145 1,205,667
Tax indemnification receivable 8,155 8,047
Derivative instruments 169 1,322
Total earning assets 28,202,110 28,446,343
Interest-bearing liabilities    
Long-term borrowings 5,552,497 5,930,990
Accrued interest payable 61,379 46,600
Derivative instruments 263 252
Total interest-bearing liabilities 26,806,143 26,804,534
Carrying Value | Money-market and savings accounts    
Interest-bearing liabilities    
Deposits 11,952,175 11,432,691
Carrying Value | Certificates of deposit    
Interest-bearing liabilities    
Deposits 9,239,829 9,394,001
Private Education Loans    
Earning assets    
Loans held for investment, net, difference 3,539,434 3,294,462
Private Education Loans | Fair Value    
Earning assets    
Loans held for investment, net 24,125,657 22,919,836
Private Education Loans | Carrying Value    
Earning assets    
Loans held for investment, net 20,586,223 19,625,374
FFELP Loans    
Earning assets    
Loans held for investment, net, difference 12,463 12,690
FFELP Loans | Fair Value    
Earning assets    
Loans held for investment, net 692,507 705,644
FFELP Loans | Carrying Value    
Earning assets    
Loans held for investment, net 680,044 692,954
Credit Cards    
Earning assets    
Loans held for investment, net, difference 2,173 2,082
Credit Cards | Fair Value    
Earning assets    
Loans held for investment, net 27,581 25,037
Credit Cards | Carrying Value    
Earning assets    
Loans held for investment, net $ 25,408 $ 22,955