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Summary of Dividends Paid to Alleghany by Operating Subsidiaries (Parenthetical) (Detail) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Transatlantic Reinsurance Company      
Dividends Payable [Line Items]      
Dividends paid $ 270.0 $ 350.0 $ 400.0