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Acquisitions and Dispositions - Narrative (Details) - USD ($)
$ in Thousands
3 Months Ended 11 Months Ended 12 Months Ended
Jul. 03, 2023
Dec. 07, 2021
Sep. 02, 2021
Jul. 28, 2021
Jan. 29, 2021
Sep. 30, 2023
Sep. 24, 2022
Dec. 06, 2021
Dec. 30, 2023
Dec. 31, 2022
Dec. 25, 2021
Oct. 25, 2021
Disposal Group, Disposed of by Means Other than Sale, Not Discontinued Operations, Exchange | Heatlink Group, Inc.                        
Business Acquisition [Line Items]                        
Ownership interest transferred (as a percent) 100.00%                      
Net sales of disposed of business                 $ 15,600 $ 39,100    
Operating income of disposed business                 $ 1,700 7,200    
Consideration for sale of businesses $ 26,000                      
Gain (loss) on disposal of businesses           $ 4,100            
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Die-Mold                        
Business Acquisition [Line Items]                        
Net sales of disposed of business                     $ 10,900  
Consideration for sale of businesses     $ 22,800                  
Net income of disposed business                   $ 2,200    
Gain (loss) on disposal of businesses     $ 4,700                  
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Copper Bar                        
Business Acquisition [Line Items]                        
Consideration for sale of businesses                       $ 10,100
Assets                       $ 3,600
Gain (loss) on disposal of businesses                     6,500  
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Fabricated Tube Products and Shoals Tubular, Inc.                        
Business Acquisition [Line Items]                        
Net sales of disposed of business                     37,000  
Consideration for sale of businesses       $ 75,700                
Assets       32,700                
Net income of disposed business                     $ 5,500  
Carrying value of the liabilities disposed       3,600                
Gain (loss) on disposal of businesses       $ 46,600                
Mueller Middle East                        
Business Acquisition [Line Items]                        
Ownership interest acquired (as a percent)   55.00%                    
Total consideration paid   $ 20,017                    
Cash paid for acquisition   15,800                    
Debt assumed   2,600                    
Payment for contingent consideration liability   1,000                    
Equity interest issued or issuable   $ 700                    
Asset acquisition, pro forma revenue from acquiree               $ 48,200        
Hart & Cooley Flexible Duct Business                        
Business Acquisition [Line Items]                        
Total consideration paid         $ 15,300              
Cash paid for acquisition         $ 14,000              
Payment for contingent consideration liability             $ 1,300          
Retail Distribution Business                        
Business Acquisition [Line Items]                        
Ownership interest acquired (as a percent) 11.00%   28.00%               17.00%  
Retail Distribution Business | Die-Mold                        
Business Acquisition [Line Items]                        
Ownership interest acquired (as a percent)     17.00%                  
Mueller Middle East                        
Business Acquisition [Line Items]                        
Interest in the joint venture, ownership percentage   15.00%                    
Mueller Middle East | Joint Venture                        
Business Acquisition [Line Items]                        
Interest in the joint venture, ownership percentage   40.00%