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Acquisitions (Narrative) (Details)
shares in Millions
12 Months Ended
Oct. 01, 2018
USD ($)
Aug. 31, 2018
USD ($)
shares
Mar. 19, 2018
USD ($)
ClientAdvisor
State
May 03, 2016
USD ($)
Jan. 04, 2016
USD ($)
Dec. 31, 2018
USD ($)
Dec. 31, 2017
USD ($)
Dec. 31, 2016
USD ($)
Jan. 03, 2017
USD ($)
Dec. 04, 2015
USD ($)
Business Acquisition [Line Items]                    
Goodwill           $ 1,034,679,000 $ 968,834,000      
Restricted stock units, charges at the date of modification             55,900,000      
Restricted Stock Units (RSUs) [Member]                    
Business Acquisition [Line Items]                    
Restricted stock units, charges at the date of modification               $ 58,600,000    
Global Wealth Management [Member]                    
Business Acquisition [Line Items]                    
Goodwill           340,395,000 276,477,000      
Rand & Associates [Member]                    
Business Acquisition [Line Items]                    
Period of contingent consideration 5 years                  
Liability for earn-out payments           $ 4,100,000        
Rand & Associates [Member] | Global Wealth Management [Member]                    
Business Acquisition [Line Items]                    
Goodwill $ 8,300,000                  
Rand & Associates [Member] | Customer Relationships [Member]                    
Business Acquisition [Line Items]                    
Identifiable intangible assets $ 4,600,000                  
Business Bancshares, Inc. [Member]                    
Business Acquisition [Line Items]                    
Date of acquisition   Aug. 31, 2018                
Business acquisition, equity interest issued or issuable, description           Under the terms of the merger agreement, each outstanding share of BBI common stock (except for shares of BBI common stock held by BBI as treasury stock) were converted into the right to receive 0.705 shares of our company’s common stock, with fractional shares settled with cash.        
Business combination equity interest exchange ratio   0.705                
Shares issued for acquisition | shares   2.0                
Acquisition of loans   $ 507,800,000                
Acquisition of other assets   85,700,000                
Acquisition of deposits   501,100,000                
Acquisition of other liabilities   21,900,000                
Business Bancshares, Inc. [Member] | Global Wealth Management [Member]                    
Business Acquisition [Line Items]                    
Goodwill   38,400,000                
Business Bancshares, Inc. [Member] | Core Deposits [Member]                    
Business Acquisition [Line Items]                    
Identifiable intangible assets   $ 8,600,000                
Ziegler [Member]                    
Business Acquisition [Line Items]                    
Goodwill     $ 19,000,000              
Date of acquisition     Mar. 19, 2018              
Number of private client advisors | ClientAdvisor     55              
Number of states in which private client advisors operates | State     5              
Assets     $ 5,000,000,000              
Ziegler [Member] | Customer Relationships and Non-Compete Agreements [Member]                    
Business Acquisition [Line Items]                    
Identifiable intangible assets     $ 9,500,000              
City Securities Corporation [Member]                    
Business Acquisition [Line Items]                    
Goodwill                 $ 7,100,000  
Identifiable intangible assets                 $ 4,100,000  
ISM Capital LLP [Member]                    
Business Acquisition [Line Items]                    
Goodwill       $ 6,300,000            
Identifiable intangible assets       $ 2,300,000            
Period of contingent consideration       3 years            
Liability for earn-out payments           $ 0 1,900,000      
Eaton Partners [Member]                    
Business Acquisition [Line Items]                    
Goodwill         $ 72,000,000          
Identifiable intangible assets         $ 32,300,000          
Period of contingent consideration         4 years          
Liability for earn-out payments           40,200,000 31,200,000      
Barclays Wealth and Investment Management, Americas [Member]                    
Business Acquisition [Line Items]                    
Goodwill                   $ 24,800,000
Deferred consideration, recognized as a liability           $ 7,400,000 $ 15,200,000      
Barclays Wealth and Investment Management, Americas [Member] | Stifel Bank [Member]                    
Business Acquisition [Line Items]                    
Assets                   600,000,000
Barclays Wealth and Investment Management, Americas [Member] | Customer Relationships [Member]                    
Business Acquisition [Line Items]                    
Identifiable intangible assets                   $ 7,300,000