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Reconciliation of Earnings and Share Data used in Basic and Diluted Earnings per Share Computations (Detail) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Earnings Per Share Disclosure [Line Items]    
Net earnings available to Alleghany stockholders $ 171,575 $ 149,176
Effect of dilutive securities (1,300)  
Income available to common stockholders for diluted earnings per share $ 170,300 $ 149,200
Weighted average common shares outstanding applicable to basic earnings per share 15,389,283 15,413,698
Effect of dilutive securities 29,381 6,770
Adjusted weighted average common shares outstanding applicable to diluted earnings per share 15,418,664 15,420,468