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Summary of Identifiable Assets and Equity (Detail) - USD ($)
$ in Thousands
Jun. 30, 2018
Dec. 31, 2017
Segment Reporting Information [Line Items]    
Identifiable Assets $ 25,085,887 $ 25,384,317
Invested Assets and Cash 19,267,200  
Equity attributable to Alleghany 8,404,389 $ 8,514,063
Operating Segments    
Segment Reporting Information [Line Items]    
Identifiable Assets 24,523,100  
Invested Assets and Cash 18,781,600  
Equity attributable to Alleghany 8,877,200  
Operating Segments | Reinsurance Segment    
Segment Reporting Information [Line Items]    
Identifiable Assets 16,356,900  
Invested Assets and Cash 13,387,800  
Equity attributable to Alleghany 5,208,500  
Operating Segments | Insurance Segment    
Segment Reporting Information [Line Items]    
Identifiable Assets 6,837,900  
Invested Assets and Cash 5,263,300  
Equity attributable to Alleghany 2,891,500  
Operating Segments | Reinsurance Segment and Insurance Segment    
Segment Reporting Information [Line Items]    
Identifiable Assets 23,194,800  
Invested Assets and Cash 18,651,100  
Equity attributable to Alleghany 8,100,000  
Operating Segments | Alleghany Capital    
Segment Reporting Information [Line Items]    
Identifiable Assets 1,328,300  
Invested Assets and Cash 130,500  
Equity attributable to Alleghany 777,200  
Corporate Activities    
Segment Reporting Information [Line Items]    
Identifiable Assets 562,800  
Invested Assets and Cash 485,600  
Equity attributable to Alleghany $ (472,800)