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Segments of Business - Additional Information (Detail)
$ in Thousands
12 Months Ended
Dec. 31, 2019
USD ($)
Segment
Dec. 31, 2018
USD ($)
Dec. 31, 2017
USD ($)
Segment Reporting Information [Line Items]      
Number of reportable segments | Segment 3    
Gross premiums written $ 6,656,400 $ 5,895,600 $ 5,696,900
Net premiums earned $ 5,478,143 $ 4,976,190 $ 4,954,990
Wilbert Funeral Services, Inc      
Segment Reporting Information [Line Items]      
Equity interest percentage 45.00%    
Reinsurance Segment | Largest Broker Concentration Risk | Gross Premiums Written      
Segment Reporting Information [Line Items]      
Percentage of gross premiums written 26.00% 26.00% 24.00%
Reinsurance Segment | Second Largest Broker Concentration Risk | Gross Premiums Written      
Segment Reporting Information [Line Items]      
Percentage of gross premiums written 17.00% 18.00% 19.00%
Reinsurance Segment | Third Largest Broker Concentration Risk | Gross Premiums Written      
Segment Reporting Information [Line Items]      
Percentage of gross premiums written 16.00% 15.00% 16.00%
Reinsurance Segment | Large Whole Account Quota Share Treaty | Gross Premiums Written      
Segment Reporting Information [Line Items]      
Percentage of gross premiums written 14.00% 17.00% 19.00%
Operating Segments      
Segment Reporting Information [Line Items]      
Gross premiums written $ 6,684,100 $ 5,921,800 $ 5,720,200
Net premiums earned $ 5,478,100 4,976,200 4,955,000
Operating Segments | Alleghany Capital Corporation Segment | Wilbert Funeral Services, Inc      
Segment Reporting Information [Line Items]      
Equity interest percentage 45.00%    
Operating Segments | Reinsurance Segment      
Segment Reporting Information [Line Items]      
Gross premiums written $ 4,945,700 4,451,000 4,210,600
Net premiums earned 4,327,000 3,939,000 3,808,700
Operating Segments | Reinsurance Segment | Non-US      
Segment Reporting Information [Line Items]      
Gross premiums written 1,700,000 1,600,000 1,500,000
Net premiums earned 1,500,000 1,400,000 1,400,000
Operating Segments | Reinsurance Segment | U.K.      
Segment Reporting Information [Line Items]      
Net premiums earned $ 615,600 $ 583,800 $ 612,100