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Share-Based Compensation and Employee Ownership Plans Narrative (Details)
$ in Millions
12 Months Ended
Dec. 05, 2016
Dec. 31, 2017
USD ($)
shares
Dec. 31, 2016
USD ($)
shares
Dec. 31, 2015
USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stockholders' Equity Note, Stock Split, Conversion Ratio 0.25      
Equity Plans        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Shares available for issuance under compensation plan, in shares | shares   0    
Stock-compensation expense recognized in connection with compensation plan   $ 28.4 $ 26.0 $ 21.7
Tax benefit of stock-compensation expense recognized in connection with compensation plan   $ 7.7 $ 11.4 $ 5.0
Equity Plans | Employee Stock Option        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock options, initial term   7 years    
Equity Plans | Employee Stock Option | Minimum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock compensation award, vesting period   2 years    
Equity Plans | Employee Stock Option | Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock compensation award, vesting period   5 years    
Equity Plans | Restricted Shares and Restricted Stock Units (RSUs)        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized compensation expense   $ 56.4    
Vested, shares | shares   2,036,366 1,487,092  
Equity Plans | Restricted Stock | Minimum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock compensation award, vesting period   2 years    
Equity Plans | Restricted Stock | Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock compensation award, vesting period   5 years    
Equity Plans | Stock Appreciation Rights (SARs)        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
SAR's, initial term   5 years    
Unrecognized compensation expense     $ 0.1  
Vested, shares | shares   25,000 0  
Deferred Cash Award | Cowen Group, Inc. 2010 Equity and Incentive Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Deferred cash awards granted   $ 24.1    
Stock compensation award, vesting period   4 years    
Convergex Group [Member] | Deferred Cash Award        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Deferred cash awards granted   $ 2.4