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Share-Based Compensation and Employee Ownership Plans Narrative (Details)
$ in Millions
3 Months Ended 9 Months Ended
Dec. 05, 2016
Sep. 30, 2017
USD ($)
shares
Sep. 30, 2016
USD ($)
Sep. 30, 2017
USD ($)
shares
Sep. 30, 2016
USD ($)
Dec. 31, 2016
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   100,000   100,000    
Stock-compensation expense recognized in connection with compensation plan   $ 6.8 $ 6.2 $ 24.7 $ 19.3  
Tax benefit of stock-compensation expense recognized in connection with compensation plan   2.7 $ 2.5 $ 9.8 $ 8.6  
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   65.3   $ 65.3    
Vested, shares | shares       1,953,618    
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    
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   $ 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   $ 3.4   $ 3.4