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Investment Securities - Fair Value Measurement by Level (Details) - USD ($)
$ in Millions
Sep. 30, 2022
Dec. 31, 2021
Sep. 30, 2021
Dec. 31, 2020
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments $ 1,622.7 $ 1,377.8    
Debt securities issued by corporations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 974.5 992.9    
Mortgage and asset-backed securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 240.7 277.6    
Collateralized loan obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 157.3 135.0    
Level 2 | Mortgage and asset-backed securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 240.7 277.6    
Level 2 | Collateralized loan obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 157.3 135.0    
Level 3 | Mortgage and asset-backed securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Level 3 | Collateralized loan obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Level 3 | Other long-term investments        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 1,044.1 890.6 $ 814.5 $ 614.2
Fair value measured on a recurring basis        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 5,154.4 4,265.3    
Other long-term investments 1,622.7 1,377.8    
Fair value measured on a recurring basis | Marketing Technology (MediaAlpha)        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 148.2 261.6    
Fair value measured on a recurring basis | U.S. Government and agency obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 216.9 211.5    
Fair value measured on a recurring basis | Debt securities issued by corporations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 974.5 992.9    
Fair value measured on a recurring basis | Debt securities issued by corporations | Financials        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 269.0 264.2    
Fair value measured on a recurring basis | Debt securities issued by corporations | Consumer        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 181.4 178.1    
Fair value measured on a recurring basis | Debt securities issued by corporations | Industrial        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 115.8 112.9    
Fair value measured on a recurring basis | Debt securities issued by corporations | Healthcare        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 114.3 112.8    
Fair value measured on a recurring basis | Debt securities issued by corporations | Technology        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 110.8 117.9    
Fair value measured on a recurring basis | Debt securities issued by corporations | Utilities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 75.9 70.9    
Fair value measured on a recurring basis | Debt securities issued by corporations | Communications        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 49.1 56.0    
Fair value measured on a recurring basis | Debt securities issued by corporations | Energy        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 36.1 48.0    
Fair value measured on a recurring basis | Debt securities issued by corporations | Materials        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 22.1 32.1    
Fair value measured on a recurring basis | Municipal obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 264.9 291.9    
Fair value measured on a recurring basis | Mortgage and asset-backed securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 240.7 277.6    
Fair value measured on a recurring basis | Collateralized loan obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 157.3 135.0    
Fair value measured on a recurring basis | Fixed maturity investments        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 1,854.3 1,908.9    
Fair value measured on a recurring basis | Short-term investments        
Debt and Equity Securities, FV-NI [Line Items]        
Short-term investments, at fair value 1,196.4 465.9    
Fair value measured on a recurring basis | Common equity securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 332.8 251.1    
Fair value measured on a recurring basis | Other long-term investments        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 1,058.0 895.3    
Fair value measured on a recurring basis | Other long-term investments — NAV        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 564.7 482.5    
Fair value measured on a recurring basis | Level 1        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 1,607.9 939.0    
Other long-term investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Marketing Technology (MediaAlpha)        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 148.2 261.6    
Fair value measured on a recurring basis | Level 1 | U.S. Government and agency obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 216.9 211.5    
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations | Financials        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations | Consumer        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations | Industrial        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations | Healthcare        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations | Technology        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations | Utilities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations | Communications        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations | Energy        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations | Materials        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Municipal obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Mortgage and asset-backed securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Collateralized loan obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Fixed maturity investments        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 216.9 211.5    
Fair value measured on a recurring basis | Level 1 | Short-term investments        
Debt and Equity Securities, FV-NI [Line Items]        
Short-term investments, at fair value 1,196.4 465.9    
Fair value measured on a recurring basis | Level 1 | Common equity securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 46.4 0.0    
Fair value measured on a recurring basis | Level 1 | Other long-term investments        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 0.0 0.0    
Fair value measured on a recurring basis | Level 1 | Other long-term investments — NAV        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 0.0 0.0    
Fair value measured on a recurring basis | Level 2        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 1,937.7 1,953.2    
Other long-term investments 13.9 4.7    
Fair value measured on a recurring basis | Level 2 | Marketing Technology (MediaAlpha)        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 0.0 0.0    
Fair value measured on a recurring basis | Level 2 | U.S. Government and agency obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 974.5 992.9    
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations | Financials        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 269.0 264.2    
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations | Consumer        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 181.4 178.1    
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations | Industrial        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 115.8 112.9    
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations | Healthcare        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 114.3 112.8    
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations | Technology        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 110.8 117.9    
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations | Utilities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 75.9 70.9    
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations | Communications        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 49.1 56.0    
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations | Energy        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 36.1 48.0    
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations | Materials        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 22.1 32.1    
Fair value measured on a recurring basis | Level 2 | Municipal obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 264.9 291.9    
Fair value measured on a recurring basis | Level 2 | Mortgage and asset-backed securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 240.7 277.6    
Fair value measured on a recurring basis | Level 2 | Collateralized loan obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 157.3 135.0    
Fair value measured on a recurring basis | Level 2 | Fixed maturity investments        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 1,637.4 1,697.4    
Fair value measured on a recurring basis | Level 2 | Short-term investments        
Debt and Equity Securities, FV-NI [Line Items]        
Short-term investments, at fair value 0.0 0.0    
Fair value measured on a recurring basis | Level 2 | Common equity securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 286.4 251.1    
Fair value measured on a recurring basis | Level 2 | Other long-term investments        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 13.9 4.7    
Fair value measured on a recurring basis | Level 2 | Other long-term investments — NAV        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 1,044.1 890.6    
Other long-term investments 1,044.1 890.6    
Fair value measured on a recurring basis | Level 3 | Marketing Technology (MediaAlpha)        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | U.S. Government and agency obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations | Financials        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations | Consumer        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations | Industrial        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations | Healthcare        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations | Technology        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations | Utilities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations | Communications        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations | Energy        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations | Materials        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Municipal obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Mortgage and asset-backed securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Collateralized loan obligations        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Fixed maturity investments        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Short-term investments        
Debt and Equity Securities, FV-NI [Line Items]        
Short-term investments, at fair value 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Common equity securities        
Debt and Equity Securities, FV-NI [Line Items]        
Fair value investments 0.0 0.0    
Fair value measured on a recurring basis | Level 3 | Other long-term investments        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments 1,044.1 890.6    
Fair value measured on a recurring basis | Level 3 | Other long-term investments — NAV        
Debt and Equity Securities, FV-NI [Line Items]        
Other long-term investments $ 0.0 $ 0.0