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Segment Information Operating Results (Detail) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2017
Jun. 30, 2016
Jun. 30, 2017
Jun. 30, 2016
Segment Reporting Information [Line Items]        
Revenues $ 6,605.7 $ 5,819.3 $ 12,927.4 $ 11,376.8
Pretax Profit (Loss) 554.6 287.3 1,196.1 674.7
Amortization of intangible assets 15.5 15.6 31.0 31.1
Personal Lines | Agency | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 2,752.5 2,423.3 5,384.0 4,771.2
Pretax Profit (Loss) 205.5 84.5 455.2 255.9
Personal Lines | Direct | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 2,650.0 2,334.8 5,173.7 4,555.5
Pretax Profit (Loss) 162.7 73.6 338.0 153.1
Operating Segments | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 6,313.3 5,561.8 12,340.0 10,879.2
Pretax Profit (Loss) 428.0 175.6 928.0 462.4
Operating Segments | Personal Lines | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 5,402.5 4,758.1 10,557.7 9,326.7
Pretax Profit (Loss) $ 368.2 $ 158.1 $ 793.2 $ 409.0
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 $ 671.7 $ 593.4 $ 1,317.2 $ 1,142.2
Pretax Profit (Loss) 56.2 31.2 123.6 92.3
Operating Segments | Property | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 239.1 210.3 465.1 410.3
Pretax Profit (Loss) 3.7 (13.6) 11.5 (38.1)
Amortization of intangible assets 15.5 15.6 31.0 31.1
Operating Segments | Other Indemnity | Underwriting operations        
Segment Reporting Information [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Pretax Profit (Loss) (0.1) (0.1) (0.3) (0.8)
Segment Reconciling Items | Fees and other revenues        
Segment Reporting Information [Line Items]        
Revenues 88.8 82.5 174.0 161.4
Segment Reconciling Items | Service businesses        
Segment Reporting Information [Line Items]        
Revenues 32.7 26.5 61.2 51.5
Pretax Profit (Loss) 5.7 2.8 8.3 6.2
Segment Reconciling Items | Investment income        
Segment Reporting Information [Line Items]        
Revenues 170.9 146.9 352.0 283.1
Pretax Profit (Loss) 164.3 141.6 339.8 273.0
Segment Reconciling Items | Gains on extinguishment of debt        
Segment Reporting Information [Line Items]        
Revenues 0.0 1.6 0.2 1.6
Pretax Profit (Loss) 0.0 1.6 0.2 1.6
Segment Reconciling Items | Interest expense        
Segment Reporting Information [Line Items]        
Pretax Profit (Loss) $ (43.4) $ (34.3) $ (80.2) $ (68.5)