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Income Taxes (Details) (USD $)
9 Months Ended
Mar. 27, 2015
Mar. 28, 2014
Income Taxes [Abstract]    
Effective income tax rate (in hundredths) 31.80%us-gaap_EffectiveIncomeTaxRateContinuingOperations 66.60%us-gaap_EffectiveIncomeTaxRateContinuingOperations
Income Tax Examination [Line Items]    
Unrecognized tax benefits if recognized would favorably impact effective tax rate $ 835,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate  
Increase in domestic earnings $ 7,100,000twin_IncreaseInDomesticEarnings  
Italy, Canada, Belgium, and Japan [Member]    
Income Tax Examination [Line Items]    
Tax years that remain subject to examination 2009 through 2014  
U.S. [Member]    
Income Tax Examination [Line Items]    
Tax years that remain subject to examination subsequent to fiscal 2011