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Fair Value of Financial Instruments - Assets and Liabilities Measured at Fair Value on a Recurring Basis (Detail) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Mar. 31, 2018
Dec. 31, 2016
Dec. 31, 2017
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value $ 10,080,384   $ 11,120,664
Client interest rate derivatives      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 5,070   11,753
Fair value, Liabilities 13,369   11,940
Derivatives not designated as hedging instruments | Foreign Exchange Contract | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 6,713   414
Derivatives not designated as hedging instruments | Foreign Exchange Contract | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities (10,244)   (5,201)
U.S. treasury securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 6,016,877   6,840,502
U.S. agency debentures      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 1,561,834   1,567,128
Residential mortgage-backed securities | Agency-issued collateralized mortgage obligations | Fixed rate      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 2,146,173   2,267,035
Residential mortgage-backed securities | Agency-issued collateralized mortgage obligations | Variable rate      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value $ 355,500   373,730
Equity securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value     72,269
Level 3 | Equity warrant asset, public portfolio | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Sales restrictions discount rate 13.70% 15.50%  
Fair Value, Measurements, Recurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value $ 10,080,384   11,120,664
Total assets 10,669,987   11,481,237
Total liabilities 117,694   108,581
Fair Value, Measurements, Recurring | Derivatives not designated as hedging instruments | Foreign Exchange Contract | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 108,504   96,636
Fair Value, Measurements, Recurring | Derivatives not designated as hedging instruments | Foreign Exchange Contract | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities 104,325   96,641
Fair Value, Measurements, Recurring | Derivatives not designated as hedging instruments | Equity warrant assets | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 135,669   123,763
Fair Value, Measurements, Recurring | Derivatives not designated as hedging instruments | Client interest rate derivatives | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 5,070   11,753
Fair Value, Measurements, Recurring | Derivatives not designated as hedging instruments | Client interest rate derivatives | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities     11,940
Fair Value, Measurements, Recurring | Derivatives not designated as hedging instruments | Other derivative instruments | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities 13,369    
Fair Value, Measurements, Recurring | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 340,360   128,421
Fair Value, Measurements, Recurring | Fair value accounting | Unconsolidated venture capital and private equity fund investments (1)      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 1,001   919
Fair Value, Measurements, Recurring | Fair value accounting | Other securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 4,694   310
Fair Value, Measurements, Recurring | U.S. treasury securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 6,016,877   6,840,502
Fair Value, Measurements, Recurring | U.S. agency debentures      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 1,561,834   1,567,128
Fair Value, Measurements, Recurring | Residential mortgage-backed securities | Agency-issued collateralized mortgage obligations | Fixed rate      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 2,146,173   2,267,035
Fair Value, Measurements, Recurring | Residential mortgage-backed securities | Agency-issued collateralized mortgage obligations | Variable rate      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 355,500   373,730
Fair Value, Measurements, Recurring | Equity securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value     72,269
Fair Value, Measurements, Recurring | Level 1      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 6,016,877   6,840,660
Total assets 6,016,908   6,840,970
Total liabilities 0   0
Fair Value, Measurements, Recurring | Level 1 | Noncontrolling Interests      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Total assets     200
Fair Value, Measurements, Recurring | Level 1 | Derivatives not designated as hedging instruments | Foreign Exchange Contract | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 0   0
Fair Value, Measurements, Recurring | Level 1 | Derivatives not designated as hedging instruments | Foreign Exchange Contract | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities 0   0
Fair Value, Measurements, Recurring | Level 1 | Derivatives not designated as hedging instruments | Equity warrant assets | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 0   0
Fair Value, Measurements, Recurring | Level 1 | Derivatives not designated as hedging instruments | Client interest rate derivatives | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 0   0
Fair Value, Measurements, Recurring | Level 1 | Derivatives not designated as hedging instruments | Client interest rate derivatives | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities     0
Fair Value, Measurements, Recurring | Level 1 | Derivatives not designated as hedging instruments | Other derivative instruments | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities 0    
Fair Value, Measurements, Recurring | Level 1 | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 31   310
Fair Value, Measurements, Recurring | Level 1 | Fair value accounting | Unconsolidated venture capital and private equity fund investments (1)      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 0    
Fair Value, Measurements, Recurring | Level 1 | U.S. treasury securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 6,016,877   6,840,502
Fair Value, Measurements, Recurring | Level 1 | U.S. agency debentures      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 0   0
Fair Value, Measurements, Recurring | Level 1 | Residential mortgage-backed securities | Agency-issued collateralized mortgage obligations | Fixed rate      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 0   0
Fair Value, Measurements, Recurring | Level 1 | Residential mortgage-backed securities | Agency-issued collateralized mortgage obligations | Variable rate      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 0   0
Fair Value, Measurements, Recurring | Level 1 | Equity securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value     158
Fair Value, Measurements, Recurring | Level 2      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 4,063,507   4,280,004
Total assets 4,185,907   4,390,825
Total liabilities 117,694   108,581
Fair Value, Measurements, Recurring | Level 2 | Derivatives not designated as hedging instruments | Foreign Exchange Contract | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 108,504   96,636
Fair Value, Measurements, Recurring | Level 2 | Derivatives not designated as hedging instruments | Foreign Exchange Contract | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities 104,325   96,641
Fair Value, Measurements, Recurring | Level 2 | Derivatives not designated as hedging instruments | Equity warrant assets | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 4,163   2,432
Fair Value, Measurements, Recurring | Level 2 | Derivatives not designated as hedging instruments | Client interest rate derivatives | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 5,070   11,753
Fair Value, Measurements, Recurring | Level 2 | Derivatives not designated as hedging instruments | Client interest rate derivatives | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities     11,940
Fair Value, Measurements, Recurring | Level 2 | Derivatives not designated as hedging instruments | Other derivative instruments | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities 13,369    
Fair Value, Measurements, Recurring | Level 2 | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 4,663   0
Fair Value, Measurements, Recurring | Level 2 | Fair value accounting | Unconsolidated venture capital and private equity fund investments (1)      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 0    
Fair Value, Measurements, Recurring | Level 2 | Fair value accounting | Other securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 4,663    
Fair Value, Measurements, Recurring | Level 2 | U.S. treasury securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 0   0
Fair Value, Measurements, Recurring | Level 2 | U.S. agency debentures      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 1,561,834   1,567,128
Fair Value, Measurements, Recurring | Level 2 | Residential mortgage-backed securities | Agency-issued collateralized mortgage obligations | Fixed rate      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 2,146,173   2,267,035
Fair Value, Measurements, Recurring | Level 2 | Residential mortgage-backed securities | Agency-issued collateralized mortgage obligations | Variable rate      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 355,500   373,730
Fair Value, Measurements, Recurring | Level 2 | Equity securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value     72,111
Fair Value, Measurements, Recurring | Level 3      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 0   0
Total assets 132,507   122,250
Total liabilities 0   0
Fair Value, Measurements, Recurring | Level 3 | Noncontrolling Interests      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Total assets 900   800
Fair Value, Measurements, Recurring | Level 3 | Derivatives not designated as hedging instruments | Foreign Exchange Contract | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 0   0
Fair Value, Measurements, Recurring | Level 3 | Derivatives not designated as hedging instruments | Foreign Exchange Contract | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities 0   0
Fair Value, Measurements, Recurring | Level 3 | Derivatives not designated as hedging instruments | Equity warrant assets | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 131,506   121,331
Fair Value, Measurements, Recurring | Level 3 | Derivatives not designated as hedging instruments | Client interest rate derivatives | Other assets      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Assets 0   0
Fair Value, Measurements, Recurring | Level 3 | Derivatives not designated as hedging instruments | Client interest rate derivatives | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities     0
Fair Value, Measurements, Recurring | Level 3 | Derivatives not designated as hedging instruments | Other derivative instruments | Other liability      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value, Liabilities 0    
Fair Value, Measurements, Recurring | Level 3 | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 1,001   919
Fair Value, Measurements, Recurring | Level 3 | U.S. treasury securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 0   0
Fair Value, Measurements, Recurring | Level 3 | U.S. agency debentures      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 0   0
Fair Value, Measurements, Recurring | Level 3 | Residential mortgage-backed securities | Agency-issued collateralized mortgage obligations | Fixed rate      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value 0   0
Fair Value, Measurements, Recurring | Level 3 | Residential mortgage-backed securities | Agency-issued collateralized mortgage obligations | Variable rate      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value $ 0   0
Fair Value, Measurements, Recurring | Level 3 | Equity securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying Value     0
Lower Limit | Level 3 | Equity warrant asset, public portfolio      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Sales restrictions discount rate 10.00%    
Upper Limit | Level 3 | Equity warrant asset, public portfolio      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Sales restrictions discount rate 20.00%    
Other securities | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities $ 4,694   310
Other securities | Fair Value, Measurements, Recurring | Level 1 | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 31   310
Other securities | Fair Value, Measurements, Recurring | Level 2 | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities     0
Other securities | Fair Value, Measurements, Recurring | Level 3 | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 0   0
Unconsolidated venture capital and private equity fund investments (1) | Fair Value, Measurements, Recurring | Level 1 | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities     0
Unconsolidated venture capital and private equity fund investments (1) | Fair Value, Measurements, Recurring | Level 2 | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities     0
Unconsolidated venture capital and private equity fund investments (1) | Fair Value, Measurements, Recurring | Level 3 | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities 1,001   919
Consolidated venture capital and private equity fund investments | Fair Value, Measurements, Recurring | Fair value accounting      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Non-marketable securities $ 334,665   $ 127,192