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Allowance for Loan Losses - Loan Portfolio Stratified by Key Credit Quality Indicators (Detail) - Consumer Portfolio Segment - Student Loan - USD ($)
$ in Thousands
Sep. 30, 2018
Dec. 31, 2017
Private Education Loans | With Cosigner    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 18,147,180 $ 15,658,539
Private Education Loans with cosigner (in percentage) 90.00% 90.00%
Private Education Loans | Without Cosigner    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 2,092,811 $ 1,773,628
Private Education Loans without cosigner (in percentage) 10.00% 10.00%
Private Education Loans | Cosigners    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 20,239,991 $ 17,432,167
Total in percent 100.00% 100.00%
Private Education Loans | FICO at Original Approval    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 20,239,991 $ 17,432,167
Total in percent 100.00% 100.00%
Private Education Loans | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 20,239,991 $ 17,432,167
Total in percent 100.00% 100.00%
Seasoning based on monthly scheduled payments due from 1-12 payments (in percentage) 27.00% 24.00%
Seasoning based on monthly scheduled payments due from 13 - 24 payments (in percentage) 16.00% 19.00%
Seasoning based on monthly scheduled payments due from 25 - 36 payments (in percentage) 13.00% 14.00%
Seasoning based on monthly scheduled payments due from 37 - 48 payments (in percentage) 8.00% 9.00%
Seasoning based on monthly scheduled payments due from more than 48 payments (in percentage) 7.00% 7.00%
Seasoning based on monthly scheduled payments due from not yet in repayment (in percentage) 29.00% 27.00%
Private Education Loans | FICO score less than 670 | FICO at Original Approval    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 1,373,155 $ 1,153,591
Private Education Loans At Origination 7.00% 6.00%
Private Education Loans | FICO score 670-699 | FICO at Original Approval    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 3,042,228 $ 2,596,959
Private Education Loans At Origination 15.00% 15.00%
Private Education Loans | FICO score 700-749 | FICO at Original Approval    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 6,655,405 $ 5,714,554
Private Education Loans At Origination 33.00% 33.00%
Private Education Loans | FICO score greater than or equal to 750 | FICO at Original Approval    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 9,169,203 $ 7,967,063
Private Education Loans At Origination 45.00% 46.00%
Private Education Loans | 1-12 payments | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 5,419,487 $ 4,256,592
Private Education Loans | 13-24 payments | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans 3,238,910 3,229,465
Private Education Loans | 25-36 payments | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans 2,533,308 2,429,238
Private Education Loans | 37-48 payments | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans 1,638,309 1,502,327
Private Education Loans | More than 48 payments | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans 1,473,944 1,256,813
Private Education Loans | Not yet in repayment | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans 5,936,033 4,757,732
Personal Loans | FICO at Original Approval    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 1,133,005 $ 400,280
Total in percent 100.00% 100.00%
Personal Loans | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 1,133,005 $ 400,280
Total in percent 100.00% 100.00%
Seasoning based on monthly scheduled payments due from 1-12 payments (in percentage) 96.00% 100.00%
Seasoning based on monthly scheduled payments due from 13 - 24 payments (in percentage) 4.00% 0.00%
Seasoning based on monthly scheduled payments due from 25 - 36 payments (in percentage) 0.00% 0.00%
Seasoning based on monthly scheduled payments due from 37 - 48 payments (in percentage) 0.00% 0.00%
Seasoning based on monthly scheduled payments due from more than 48 payments (in percentage) 0.00% 0.00%
Personal Loans | FICO score less than 670 | FICO at Original Approval    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 79,769 $ 32,156
Private Education Loans At Origination 7.00% 8.00%
Personal Loans | FICO score 670-699 | FICO at Original Approval    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 327,364 $ 114,731
Private Education Loans At Origination 29.00% 29.00%
Personal Loans | FICO score 700-749 | FICO at Original Approval    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 520,370 $ 182,025
Private Education Loans At Origination 46.00% 45.00%
Personal Loans | FICO score greater than or equal to 750 | FICO at Original Approval    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 205,502 $ 71,368
Private Education Loans At Origination 18.00% 18.00%
Personal Loans | 1-12 payments | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 1,084,706 $ 400,280
Personal Loans | 13-24 payments | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans 48,299 0
Personal Loans | 25-36 payments | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans 0 0
Personal Loans | 37-48 payments | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans 0 0
Personal Loans | More than 48 payments | Seasoning    
Accounts, Notes, Loans and Financing Receivable [Line Items]    
Private Education Loans $ 0 $ 0