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Subsequent Events (Details) - USD ($)
$ / shares in Units, $ in Millions
Oct. 30, 2020
Oct. 26, 2020
Oct. 01, 2020
Oct. 31, 2020
Sep. 30, 2020
Dec. 31, 2019
Feb. 26, 2019
Dec. 31, 2018
Subsequent Event [Line Items]                
Other long-term investments         $ 1,171.2 $ 856.3    
MediaAlpha                
Subsequent Event [Line Items]                
Fully diluted ownership interest (as a percent)             42.00% 58.90%
Subsequent Event | Ark Insurance Holdings Limited                
Subsequent Event [Line Items]                
Merger agreement, equity capital contributed     $ 605.4          
Equity capital, pre money valuation amount     300.0          
Additional equity purchase from shareholders     40.9          
Investment, potential additional contribution of equity capital     $ 200.0          
Ownership interest after all transactions     72.00%          
Business combination, consideration transferred     $ 800.0          
Investment owned, after additional equity contributions     $ 1,000.0          
Fully diluted ownership interest after additional funding     63.00%          
Equity incentives, rate of return threshold     8.00%          
Percent of shares outstanding     12.50%          
Amount of equity contribution pre-funded   $ 400.0            
Subsequent Event | Ark Insurance Holdings Limited | Tranche One                
Subsequent Event [Line Items]                
Invested capital return threshold, multiples     2.0          
Subsequent Event | Ark Insurance Holdings Limited | Tranche Two                
Subsequent Event [Line Items]                
Invested capital return threshold, multiples     2.5          
Subsequent Event | Ark Insurance Holdings Limited | Tranche Three                
Subsequent Event [Line Items]                
Invested capital return threshold, multiples     3.0          
Subsequent Event | Ark Insurance Holdings Limited | Forecast                
Subsequent Event [Line Items]                
Ownership interest after additional funding     77.10%          
Fully diluted ownership interest after additional funding     67.50%          
Subsequent Event | MediaAlpha                
Subsequent Event [Line Items]                
Share price (in USD per share) $ 33.83              
Subsequent Event | Ark Insurance Holdings Limited                
Subsequent Event [Line Items]                
Letters of credit outstanding   $ 150.0 $ 150.0          
Subsequent Event | IPO | MediaAlpha                
Subsequent Event [Line Items]                
Sale of stock, price per share (in USD per share) $ 19.00              
Equity market capitalization $ 1,200.0              
Equity enterprise valuation 1,400.0              
MediaAlpha | Subsequent Event                
Subsequent Event [Line Items]                
Other long-term investments $ 390.1     $ 694.6        
Investment owned (in shares) 20,532,202              
Fully diluted ownership interest (as a percent) 32.30%              
MediaAlpha | Subsequent Event | IPO                
Subsequent Event [Line Items]                
Sale of stock, number of shares issued in transaction (in shares) 3,609,894              
Sale of stock, consideration received in transaction $ 63.8