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Business Segments (Revenues by line of business) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Total revenues $ 2,959 $ 2,820 $ 8,854 $ 7,877
Total operating revenues 2,937 2,793 8,737 7,997
Net investment gains (losses) 22 27 117 (120)
Operating Segments | Specialty        
Total revenues 1,247 1,177 3,692 3,366
Operating Segments | Commercial        
Total revenues 1,041 1,013 3,109 2,842
Operating Segments | International        
Total revenues 285 251 832 743
Operating Segments | Life & Group        
Total revenues 362 335 1,092 1,002
Operating Segments | Corporate & Other        
Total revenues 4 18 17 48
Eliminations        
Total revenues (2) (1) (5) (4)
Management & Professional Liability | Operating Segments | Specialty        
Total revenues 684 668 2,044 1,881
Surety | Operating Segments | Specialty        
Total revenues 157 153 454 444
Warranty & Alternative Risks | Operating Segments | Specialty        
Total revenues 406 356 1,194 1,041
Middle Market | Operating Segments | Commercial        
Total revenues 363 379 1,119 1,069
Construction | Operating Segments | Commercial        
Total revenues 345 298 978 823
Small Business | Operating Segments | Commercial        
Total revenues 144 126 413 352
Other Commercial | Operating Segments | Commercial        
Total revenues 189 210 599 598
Canada | Operating Segments | International        
Total revenues 87 73 253 214
Europe | Operating Segments | International        
Total revenues 123 96 349 282
Hardy | Operating Segments | International        
Total revenues $ 75 $ 82 $ 230 $ 247