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Common Stock and Earnings (Loss) Per Share (Common Stock) (Details) (USD $)
In Thousands, except Share data, unless otherwise specified
12 Months Ended
Dec. 27, 2014
votes
Dec. 28, 2013
Dec. 29, 2012
Class of Stock [Line Items]      
Common stock, shares authorized 80,000,000us-gaap_CommonStockSharesAuthorized 80,000,000us-gaap_CommonStockSharesAuthorized  
Common stock, par value $ 3.00us-gaap_CommonStockParOrStatedValuePerShare $ 3.00us-gaap_CommonStockParOrStatedValuePerShare  
Votes Per Share of Class B Common Stock 20dxyn_VotesPerShareOfClassBCommonStock    
Common stock, shares issued 15,007,423us-gaap_CommonStockSharesIssued 12,441,356us-gaap_CommonStockSharesIssued  
Common Stock, shares issued equity offering 2,500,000us-gaap_StockIssuedDuringPeriodSharesNewIssues 0us-gaap_StockIssuedDuringPeriodSharesNewIssues 0us-gaap_StockIssuedDuringPeriodSharesNewIssues
Price Per Share From Equity Offering $ 10.65us-gaap_SaleOfStockPricePerShare    
Proceeds from equity offering, net of issuance costs $ 24,559us-gaap_ProceedsFromIssuanceOfCommonStock $ 0us-gaap_ProceedsFromIssuanceOfCommonStock $ 0us-gaap_ProceedsFromIssuanceOfCommonStock
Common Class A [Member]      
Class of Stock [Line Items]      
Common stock, shares authorized 80,000,000us-gaap_CommonStockSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassAMember
   
Common stock, par value $ 3us-gaap_CommonStockParOrStatedValuePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassAMember
   
Common Class B [Member]      
Class of Stock [Line Items]      
Common stock, shares authorized 16,000,000us-gaap_CommonStockSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassBMember
   
Common stock, par value $ 3us-gaap_CommonStockParOrStatedValuePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassBMember
   
Common Class C [Member]      
Class of Stock [Line Items]      
Common stock, shares authorized 200,000,000us-gaap_CommonStockSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassCMember
   
Common stock, par value $ 3us-gaap_CommonStockParOrStatedValuePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassCMember
   
Common stock, shares issued 0us-gaap_CommonStockSharesIssued
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassCMember
   
Preferred Stock [Member]      
Class of Stock [Line Items]      
Common stock, shares authorized 16,000,000us-gaap_CommonStockSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= us-gaap_PreferredStockMember
   
Common stock, shares issued 0us-gaap_CommonStockSharesIssued
/ us-gaap_StatementClassOfStockAxis
= us-gaap_PreferredStockMember