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Loans Held for Investment - Student Loan Portfolio by Program (Detail) - USD ($) $ in Thousands	Sep. 30, 2018	Jun. 30, 2018	Dec. 31, 2017	Sep. 30, 2017	Jun. 30, 2017	Dec. 31, 2016
Accounts, Notes, Loans and Financing Receivable [Line Items]
Allowance for loan 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
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross amount of loans	20,239,991		17,432,167
Deferred origination costs and unamortized premium/(discount)	65,499		56,378
Allowance for loan losses	(274,684)		(243,715)
Loans held for investment, net	20,030,806		17,244,830
Private Education Loans | Fixed rate
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross amount of loans	6,369,950		4,000,447
Private Education Loans | Variable rate
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross amount of loans	13,870,041		13,431,720
FFELP Loans
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross amount of loans	866,786		927,660
Deferred origination costs and unamortized premium/(discount)	2,432		2,631
Allowance for loan losses	(1,080)		(1,132)
Loans held for investment, net	868,138		929,159
Personal Loans
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross amount of loans	1,133,005		400,280
Deferred origination costs and unamortized premium/(discount)	164		0
Allowance for loan losses	(53,210)		(6,628)
Loans held for investment, net	$ 1,079,959		$ 393,652

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Amount of allowance to cover probable credit losses on loans and leases. Includes carryover of or adjustments to the allowance for loan losses in connection with business combinations. Excludes allowance for loans and leases covered under loss sharing agreements.

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Amount, before allowance and fees, of loans and leases receivable. Excludes loans and leases covered under loss sharing agreements.

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Amount after allowance and deduction of deferred interest and fees, unamortized costs and premiums and discounts from face amounts, of loans and leases held in portfolio, including but not limited to, commercial and consumer loans. Excludes loans and leases covered under loss sharing agreements and loans held for sale.

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