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Segment Information - Summary of Premiums Written and Earned by Segment (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Segment Reporting Information [Line Items]        
Net premiums earned $ 858,135 $ 801,205 $ 2,500,178 $ 2,388,641
Direct Premiums Written 917,500 835,100 2,673,100 2,450,000
Private Passenger Automobile Line [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 659,600 619,800 1,932,100 1,850,300
Direct Premiums Written 695,100 633,700 2,035,100 1,872,800
Homeowners Line [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 120,000 108,300 340,500 322,300
Direct Premiums Written 140,700 125,800 394,000 352,300
Commercial Automobile Line [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 48,700 43,600 140,300 127,300
Direct Premiums Written 50,300 45,600 149,900 133,700
Other [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 29,800 29,500 87,300 88,700
Direct Premiums Written 31,400 30,000 94,100 91,200
Property and Casualty Lines [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 850,500 792,700 2,476,900 2,362,400
Direct Premiums Written 910,600 828,000 2,652,600 2,428,700
Property and Casualty Lines [Member] | Private Passenger Automobile Line [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 659,600 619,800 1,932,100 1,850,300
Direct Premiums Written 695,100 633,700 2,035,100 1,872,800
Property and Casualty Lines [Member] | Homeowners Line [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 120,000 108,300 340,500 322,300
Direct Premiums Written 140,700 125,800 394,000 352,300
Property and Casualty Lines [Member] | Commercial Automobile Line [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 48,700 43,600 140,300 127,300
Direct Premiums Written 50,300 45,600 149,900 133,700
Property and Casualty Lines [Member] | Other [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 22,200 21,000 64,000 62,500
Direct Premiums Written 24,500 22,900 73,600 69,900
Other Segments [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 7,600 8,500 23,300 26,200
Direct Premiums Written 6,900 7,100 20,500 21,300
Other Segments [Member] | Private Passenger Automobile Line [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 0 0 0 0
Direct Premiums Written 0 0 0 0
Other Segments [Member] | Homeowners Line [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 0 0 0 0
Direct Premiums Written 0 0 0 0
Other Segments [Member] | Commercial Automobile Line [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 0 0 0 0
Direct Premiums Written 0 0 0 0
Other Segments [Member] | Other [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 7,600 8,500 23,300 26,200
Direct Premiums Written $ 6,900 $ 7,100 $ 20,500 $ 21,300