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Segment Information Underwriting Margins and Combined Ratios for our Underwriting Operations (Detail) - Underwriting operations
3 Months Ended 9 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2020
Sep. 30, 2019
Personal Lines | Agency        
Segment Reporting Information [Line Items]        
Underwriting Margin 14.90% 10.30% 14.90% 11.70%
Combined Ratio 85.10% 89.70% 85.10% 88.30%
Personal Lines | Direct        
Segment Reporting Information [Line Items]        
Underwriting Margin 12.00% 7.70% 13.10% 8.50%
Combined Ratio 88.00% 92.30% 86.90% 91.50%
Operating Segments        
Segment Reporting Information [Line Items]        
Underwriting Margin 12.20% 8.10% 12.50% 9.60%
Combined Ratio 87.80% 91.90% 87.50% 90.40%
Operating Segments | Personal Lines        
Segment Reporting Information [Line Items]        
Underwriting Margin 13.40% 9.00% 14.00% 10.10%
Combined Ratio 86.60% 91.00% 86.00% 89.90%
Operating Segments | Commercial Lines        
Segment Reporting Information [Line Items]        
Underwriting Margin 12.80% 6.30% 12.70% 11.30%
Combined Ratio 87.20% 93.70% 87.30% 88.70%
Operating Segments | Property        
Segment Reporting Information [Line Items]        
Underwriting Margin (11.80%) (2.30%) (14.80%) (3.10%)
Combined Ratio 111.80% 102.30% 114.80% 103.10%
Combined ratio amortization points 0.032 0.040 0.033 0.045