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Segment Information Operating Results (Detail) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2017
Sep. 30, 2016
Segment Reporting Information [Line Items]        
Revenues $ 6,791.8 $ 5,935.0 $ 19,719.2 $ 17,311.8
Pretax Profit (Loss) 251.4 258.5 1,447.5 933.2
Amortization of intangible assets 17.2 15.5 48.2 46.6
Personal Lines | Agency | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 2,840.0 2,474.3 8,224.0 7,245.5
Pretax Profit (Loss) 69.5 98.6 524.7 354.5
Personal Lines | Direct | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 2,734.8 2,391.2 7,908.5 6,946.7
Pretax Profit (Loss) 128.7 84.4 466.7 237.5
Operating Segments | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 6,544.0 5,723.4 18,884.0 16,602.6
Pretax Profit (Loss) 172.0 197.0 1,100.0 659.4
Operating Segments | Personal Lines | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 5,574.8 4,865.5 16,132.5 14,192.2
Pretax Profit (Loss) $ 198.2 $ 183.0 $ 991.4 $ 592.0
Personal auto insurance percentage of the total personal lines segment net premiums earned 93.00% 92.00% 93.00% 92.00%
Operating Segments | Commercial Lines | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues $ 714.0 $ 630.2 $ 2,031.2 $ 1,772.4
Pretax Profit (Loss) 42.8 4.4 166.4 96.7
Operating Segments | Property | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 255.2 227.7 720.3 638.0
Pretax Profit (Loss) (69.0) 10.4 (57.5) (27.7)
Amortization of intangible assets 17.2 15.5 48.2 46.6
Operating Segments | Other Indemnity | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Pretax Profit (Loss) 0.0 (0.8) (0.3) (1.6)
Segment Reconciling Items | Fees and other revenues        
Segment Reporting Information [Line Items]        
Revenues 96.3 86.8 270.3 248.2
Segment Reconciling Items | Service businesses        
Segment Reporting Information [Line Items]        
Revenues 33.3 26.2 94.5 77.7
Pretax Profit (Loss) 4.4 3.0 12.7 9.2
Segment Reconciling Items | Investment income        
Segment Reporting Information [Line Items]        
Revenues 118.2 98.6 470.2 381.7
Pretax Profit (Loss) 112.4 93.8 452.2 366.8
Segment Reconciling Items | Gains on extinguishment of debt        
Segment Reporting Information [Line Items]        
Revenues 0.0 0.0 0.2 1.6
Pretax Profit (Loss) 0.0 0.0 0.2 1.6
Segment Reconciling Items | Interest expense        
Segment Reporting Information [Line Items]        
Pretax Profit (Loss) $ (37.4) $ (35.3) $ (117.6) $ (103.8)