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Share-Based Compensation and Employee Ownership Plans Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Equity Plans        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Shares available for issuance under compensation plan, in shares 200,000   200,000  
Stock-compensation expense recognized in connection with compensation plan $ 8.5 $ 6.8 $ 27.6 $ 24.7
Tax benefit of stock-compensation expense recognized in connection with compensation plan 2.4 $ 2.7 $ 7.2 $ 9.8
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 62.3   $ 62.3  
Vested, shares     1,423,075  
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  
Vested, shares     75,000  
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 39.1   $ 39.1  
Stock compensation award, vesting period     4 years  
Convergex Group | Deferred Cash Award        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Deferred cash awards granted $ 0.6   $ 0.6