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Share-Based Compensation and Employee Ownership Plans Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Granted, shares   56,519  
Share Price $ 13.34 $ 13.65  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number   191,962  
Equity Plans      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-compensation expense recognized in connection with compensation plan $ 37.0 $ 28.4 $ 26.0
Tax benefit of stock-compensation expense recognized in connection with compensation plan $ 9.7 $ 7.7 $ 11.4
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 $ 56.1    
Vested, shares 1,961,824 2,036,366  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 5,962,295 5,579,293 5,717,932
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 | Restricted Stock Units (RSUs) | Non-employee Director      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Granted, shares 88,504    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 253,772    
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 25,000  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 0 75,000 100,000
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 $ 39.2    
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 $ 0.3