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Investment Securities - Fair Value Measurement by Level (Details) - USD ($)
$ in Millions
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Investment securities      
Other long-term investments $ 1,488.0 $ 1,377.8  
Debt securities issued by corporations      
Investment securities      
Fair value investments 1,018.8 992.9  
Mortgage and asset-backed securities      
Investment securities      
Fair value investments 254.2 277.6  
Collateralized loan obligations      
Investment securities      
Fair value investments 182.9 135.0  
Level 2 | Mortgage and asset-backed securities      
Investment securities      
Fair value investments 254.2 277.6  
Level 2 | Collateralized loan obligations      
Investment securities      
Fair value investments 182.9 135.0  
Level 3 | Mortgage and asset-backed securities      
Investment securities      
Fair value investments 0.0 0.0  
Level 3 | Collateralized loan obligations      
Investment securities      
Fair value investments 0.0 0.0  
Level 3 | Other long-term investments      
Investment securities      
Fair value investments 911.6 890.6 $ 614.2
Fair value measured on a recurring basis      
Investment securities      
Fair value investments 5,170.0 4,265.3  
Other long-term investments 1,488.0 1,377.8  
Fair value measured on a recurring basis | U.S. Government and agency obligations      
Investment securities      
Fair value investments 206.4 211.5  
Fair value measured on a recurring basis | Debt securities issued by corporations      
Investment securities      
Fair value investments 1,018.8 992.9  
Fair value measured on a recurring basis | Municipal obligations      
Investment securities      
Fair value investments 258.6 291.9  
Fair value measured on a recurring basis | Mortgage and asset-backed securities      
Investment securities      
Fair value investments 254.2 277.6  
Fair value measured on a recurring basis | Collateralized loan obligations      
Investment securities      
Fair value investments 182.9 135.0  
Fair value measured on a recurring basis | Fixed maturity investments      
Investment securities      
Fair value investments 1,920.9 1,908.9  
Fair value measured on a recurring basis | Short-term investments      
Investment securities      
Short-term investments, at fair value 924.1 465.9  
Fair value measured on a recurring basis | Total common equity securities      
Investment securities      
Fair value investments 668.4 251.1  
Fair value measured on a recurring basis | Other long-term investments      
Investment securities      
Fair value investments 926.4 895.3  
Fair value measured on a recurring basis | Other long-term investments — NAV      
Investment securities      
Fair value investments 561.6 482.5  
Fair value measured on a recurring basis | MediaAlpha      
Investment securities      
Other long-term investments 168.6 261.6  
Fair value measured on a recurring basis | Level 1      
Investment securities      
Fair value investments 1,632.9 939.0  
Other long-term investments 0.0 0.0  
Fair value measured on a recurring basis | Level 1 | U.S. Government and agency obligations      
Investment securities      
Fair value investments 206.4 211.5  
Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 1 | Municipal obligations      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 1 | Mortgage and asset-backed securities      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 1 | Collateralized loan obligations      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 1 | Fixed maturity investments      
Investment securities      
Fair value investments 206.4 211.5  
Fair value measured on a recurring basis | Level 1 | Short-term investments      
Investment securities      
Short-term investments, at fair value 924.1 465.9  
Fair value measured on a recurring basis | Level 1 | Total common equity securities      
Investment securities      
Fair value investments 333.8 0.0  
Fair value measured on a recurring basis | Level 1 | Other long-term investments      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 1 | Other long-term investments — NAV      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 1 | MediaAlpha      
Investment securities      
Other long-term investments 168.6 261.6  
Fair value measured on a recurring basis | Level 2      
Investment securities      
Fair value investments 2,063.9 1,953.2  
Other long-term investments 14.8 4.7  
Fair value measured on a recurring basis | Level 2 | U.S. Government and agency obligations      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations      
Investment securities      
Fair value investments 1,018.8 992.9  
Fair value measured on a recurring basis | Level 2 | Municipal obligations      
Investment securities      
Fair value investments 258.6 291.9  
Fair value measured on a recurring basis | Level 2 | Mortgage and asset-backed securities      
Investment securities      
Fair value investments 254.2 277.6  
Fair value measured on a recurring basis | Level 2 | Collateralized loan obligations      
Investment securities      
Fair value investments 182.9 135.0  
Fair value measured on a recurring basis | Level 2 | Fixed maturity investments      
Investment securities      
Fair value investments 1,714.5 1,697.4  
Fair value measured on a recurring basis | Level 2 | Short-term investments      
Investment securities      
Short-term investments, at fair value 0.0 0.0  
Fair value measured on a recurring basis | Level 2 | Total common equity securities      
Investment securities      
Fair value investments 334.6 251.1  
Fair value measured on a recurring basis | Level 2 | Other long-term investments      
Investment securities      
Fair value investments 14.8 4.7  
Fair value measured on a recurring basis | Level 2 | Other long-term investments — NAV      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 2 | MediaAlpha      
Investment securities      
Other long-term investments 0.0 0.0  
Fair value measured on a recurring basis | Level 3      
Investment securities      
Fair value investments 911.6 890.6  
Other long-term investments 911.6 890.6  
Fair value measured on a recurring basis | Level 3 | U.S. Government and agency obligations      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 3 | Municipal obligations      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 3 | Mortgage and asset-backed securities      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 3 | Collateralized loan obligations      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 3 | Fixed maturity investments      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 3 | Short-term investments      
Investment securities      
Short-term investments, at fair value 0.0 0.0  
Fair value measured on a recurring basis | Level 3 | Total common equity securities      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 3 | Other long-term investments      
Investment securities      
Fair value investments 911.6 890.6  
Fair value measured on a recurring basis | Level 3 | Other long-term investments — NAV      
Investment securities      
Fair value investments 0.0 0.0  
Fair value measured on a recurring basis | Level 3 | MediaAlpha      
Investment securities      
Other long-term investments 0.0 0.0  
Financials | Fair value measured on a recurring basis | Debt securities issued by corporations      
Investment securities      
Fair value investments 291.2 264.2  
Financials | Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Financials | Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations      
Investment securities      
Fair value investments 291.2 264.2  
Financials | Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Consumer | Fair value measured on a recurring basis | Debt securities issued by corporations      
Investment securities      
Fair value investments 191.9 178.1  
Consumer | Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Consumer | Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations      
Investment securities      
Fair value investments 191.9 178.1  
Consumer | Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Technology | Fair value measured on a recurring basis | Debt securities issued by corporations      
Investment securities      
Fair value investments 123.7 117.9  
Technology | Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Technology | Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations      
Investment securities      
Fair value investments 123.7 117.9  
Technology | Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Healthcare | Fair value measured on a recurring basis | Debt securities issued by corporations      
Investment securities      
Fair value investments 121.3 112.8  
Healthcare | Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Healthcare | Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations      
Investment securities      
Fair value investments 121.3 112.8  
Healthcare | Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Industrial | Fair value measured on a recurring basis | Debt securities issued by corporations      
Investment securities      
Fair value investments 115.4 112.9  
Industrial | Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Industrial | Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations      
Investment securities      
Fair value investments 115.4 112.9  
Industrial | Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Utilities | Fair value measured on a recurring basis | Debt securities issued by corporations      
Investment securities      
Fair value investments 73.8 70.9  
Utilities | Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Utilities | Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations      
Investment securities      
Fair value investments 73.8 70.9  
Utilities | Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Communications | Fair value measured on a recurring basis | Debt securities issued by corporations      
Investment securities      
Fair value investments 47.9 56.0  
Communications | Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Communications | Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations      
Investment securities      
Fair value investments 47.9 56.0  
Communications | Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Energy | Fair value measured on a recurring basis | Debt securities issued by corporations      
Investment securities      
Fair value investments 33.9 48.0  
Energy | Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Energy | Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations      
Investment securities      
Fair value investments 33.9 48.0  
Energy | Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Materials | Fair value measured on a recurring basis | Debt securities issued by corporations      
Investment securities      
Fair value investments 19.7 32.1  
Materials | Fair value measured on a recurring basis | Level 1 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 0.0  
Materials | Fair value measured on a recurring basis | Level 2 | Debt securities issued by corporations      
Investment securities      
Fair value investments 19.7 32.1  
Materials | Fair value measured on a recurring basis | Level 3 | Debt securities issued by corporations      
Investment securities      
Fair value investments 0.0 $ 0.0  
Exchange traded funds | Fair value measured on a recurring basis | Total common equity securities      
Investment securities      
Fair value investments 333.8    
Exchange traded funds | Fair value measured on a recurring basis | Level 1 | Total common equity securities      
Investment securities      
Fair value investments 333.8    
Exchange traded funds | Fair value measured on a recurring basis | Level 2 | Total common equity securities      
Investment securities      
Fair value investments 0.0    
Exchange traded funds | Fair value measured on a recurring basis | Level 3 | Total common equity securities      
Investment securities      
Fair value investments 0.0    
Other | Fair value measured on a recurring basis | Total common equity securities      
Investment securities      
Fair value investments 334.6    
Other | Fair value measured on a recurring basis | Level 1 | Total common equity securities      
Investment securities      
Fair value investments 0.0    
Other | Fair value measured on a recurring basis | Level 2 | Total common equity securities      
Investment securities      
Fair value investments 334.6    
Other | Fair value measured on a recurring basis | Level 3 | Total common equity securities      
Investment securities      
Fair value investments $ 0.0