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Earnings Per Share - Narrative (Details) - shares
12 Months Ended
Jan. 17, 2018
Dec. 29, 2018
Dec. 30, 2017
Dec. 31, 2016
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Antidilutive securities excluded (in shares)   42,305 37,443 53,448
IXYS Corporation        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Stock issues for acquisitions (in shares) 2,100,000      
IXYS Corporation | Conversion of IXYS Equity Awards Into Littlefuse Equity Awards        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Conversion of stock (in shares) 500,000