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Summary of Significant Accounting Policies (Details) - USD ($)
shares in Thousands, $ in Thousands
12 Months Ended
Dec. 28, 2019
Dec. 29, 2018
Dec. 30, 2017
Jan. 01, 2019
Noncontrolling Interest [Line Items]        
Temporary investments $ 500 $ 600    
Operating lease renewal term 5 years      
Weighted average remaining lease term (in years) 8 years 4 months 6 days      
Specified percentage over which unrecognized gains and losses are amortized 10.00%      
Average remaining service period for the pension plans 9 years      
Stock-based awards excluded from the computation of diluted earnings per share (in shares) 0 54    
Foreign currency transaction gains (losses) $ 200 $ (1,000) $ (400)  
Operating lease right-of-use assets 26,922     $ 29,500
Current portion of operating lease liabilities 5,250     4,800
Noncurrent operating lease liabilities $ 22,388     $ 25,400
Minimum [Member]        
Noncontrolling Interest [Line Items]        
Weighted average remaining lease term (in years) 1 year      
Maximum [Member]        
Noncontrolling Interest [Line Items]        
Weighted average remaining lease term (in years) 15 years      
Tecumseh Products Holdings LLC [Member]        
Noncontrolling Interest [Line Items]        
Equity method investment, ownership percentage 50.00%      
Second Unconsolidated Affiliate [Member]        
Noncontrolling Interest [Line Items]        
Equity method investment, ownership percentage 50.00%      
Mueller Middle East BSC [Member]        
Noncontrolling Interest [Line Items]        
Equity method investment, ownership percentage 40.00%      
Building [Member] | Minimum [Member]        
Noncontrolling Interest [Line Items]        
Property, plant and equipment, useful life 20 years      
Building [Member] | Maximum [Member]        
Noncontrolling Interest [Line Items]        
Property, plant and equipment, useful life 40 years      
Machinery and Equipment [Member] | Minimum [Member]        
Noncontrolling Interest [Line Items]        
Property, plant and equipment, useful life 5 years      
Machinery and Equipment [Member] | Maximum [Member]        
Noncontrolling Interest [Line Items]        
Property, plant and equipment, useful life 20 years      
Jungwoo Metal Ind. Co., LTD [Member] | Jungwoo-Mueller [Member]        
Noncontrolling Interest [Line Items]        
Non-controlling ownership interest 40.00%      
Mueller-Xingrong [Member] | Mueller-Xingrong [Member]        
Noncontrolling Interest [Line Items]        
Non-controlling ownership interest 49.50%