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Nature of Operations and Summary of Significant Accounting Policies - Goodwill (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Goodwill [Roll Forward]    
Gross balance, beginning balance $ 437,262 $ 421,541
Accumulated impairment losses (85,509) (85,509)
Net balance, beginning balance 351,753 336,032
Increase due to acquisition 53,757 3,953
Currency translation (8,623) 11,768
Goodwill period activity 45,134 15,721
Gross balance, ending balance 482,396 437,262
Accumulated impairment losses (85,509) (85,509)
Net balance, ending balance 396,887 351,753
Fluid-Handling    
Goodwill [Roll Forward]    
Net balance, beginning balance 65,755  
Net balance, ending balance 64,003 65,755
Doctoring, Cleaning, & Filtration    
Goodwill [Roll Forward]    
Net balance, beginning balance 35,682  
Net balance, ending balance 59,586 35,682
Stock-Preparation    
Goodwill [Roll Forward]    
Net balance, beginning balance 19,685  
Net balance, ending balance 20,819 19,685
Wood Processing    
Goodwill [Roll Forward]    
Net balance, beginning balance 110,687  
Net balance, ending balance 108,654 110,687
Material Handling    
Goodwill [Roll Forward]    
Net balance, beginning balance 119,944  
Net balance, ending balance 143,825 119,944
Operating Segments | Flow Control    
Goodwill [Roll Forward]    
Gross balance, beginning balance 101,437 97,680
Accumulated impairment losses 0 0
Net balance, beginning balance 101,437 97,680
Increase due to acquisition 25,805 0
Currency translation (3,653) 3,757
Goodwill period activity 22,152 3,757
Gross balance, ending balance 123,589 101,437
Accumulated impairment losses 0 0
Net balance, ending balance 123,589 101,437
Operating Segments | Industrial Processing    
Goodwill [Roll Forward]    
Gross balance, beginning balance 215,881 207,536
Accumulated impairment losses (85,509) (85,509)
Net balance, beginning balance 130,372 122,027
Increase due to acquisition 1,116 3,953
Currency translation (2,015) 4,392
Goodwill period activity (899) 8,345
Gross balance, ending balance 214,982 215,881
Accumulated impairment losses (85,509) (85,509)
Net balance, ending balance 129,473 130,372
Operating Segments | Material Handling    
Goodwill [Roll Forward]    
Gross balance, beginning balance 119,944 116,325
Accumulated impairment losses 0 0
Net balance, beginning balance 119,944 116,325
Increase due to acquisition 26,836 0
Currency translation (2,955) 3,619
Goodwill period activity 23,881 3,619
Gross balance, ending balance 143,825 119,944
Accumulated impairment losses 0 0
Net balance, ending balance $ 143,825 $ 119,944