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Segments of Business - Additional Information (Detail)
$ in Thousands
9 Months Ended
Oct. 01, 2018
USD ($)
Feb. 07, 2018
USD ($)
Sep. 30, 2019
USD ($)
Segment
Dec. 31, 2018
USD ($)
Segment Reporting Information [Line Items]        
Number of reportable segments | Segment     3  
Debt amount     $ 1,695,303 $ 1,669,039
Wilbert Funeral Services, Inc        
Segment Reporting Information [Line Items]        
Equity interest percentage     45.00%  
Operating Segments | Alleghany Capital Corporation Segment        
Segment Reporting Information [Line Items]        
Debt amount     $ 311,300 $ 284,500
Operating Segments | Alleghany Capital Corporation Segment | Concord        
Segment Reporting Information [Line Items]        
Business acquisition date Oct. 01, 2018      
Ownership interest acquired 85.00%      
Purchase price for acquisition $ 136,600      
Cash consideration paid for acquisition 68,600      
Potential contingent consideration on acquisition 38,200      
Incremental debt acquired 29,800      
Goodwill 83,000      
Finite-lived intangible assets acquired $ 70,800      
Operating Segments | Alleghany Capital Corporation Segment | WWSC Holdings, LLC        
Segment Reporting Information [Line Items]        
Debt amount     80,400  
Operating Segments | Alleghany Capital Corporation Segment | WWSC Holdings, LLC | Hirschfeld Holdings LP        
Segment Reporting Information [Line Items]        
Business acquisition date   Feb. 07, 2018    
Purchase price for acquisition   $ 109,100    
Cash consideration paid for acquisition   94,400    
Incremental debt acquired   14,700    
Goodwill   3,000    
Finite-lived intangible assets acquired   9,400    
Capital contributions from Alleghany   75,500    
Capital contributions from noncontrolling interests   $ 18,900    
Operating Segments | Alleghany Capital Corporation Segment | Jazwares, LLC        
Segment Reporting Information [Line Items]        
Debt amount     48,900  
Operating Segments | Alleghany Capital Corporation Segment | Kentucky Trailer        
Segment Reporting Information [Line Items]        
Debt amount     74,600  
Operating Segments | Alleghany Capital Corporation Segment | Integrated Project Services LLC        
Segment Reporting Information [Line Items]        
Debt amount     41,900  
Operating Segments | Alleghany Capital Corporation Segment | Concord        
Segment Reporting Information [Line Items]        
Debt amount     32,600  
Operating Segments | Alleghany Capital Corporation Segment | Precision Cutting Technologies, Inc        
Segment Reporting Information [Line Items]        
Debt amount     $ 32,900