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Nature of Operations and Summary of Significant Accounting Policies - Goodwill (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jan. 02, 2021
Dec. 28, 2019
Goodwill [Roll Forward]    
Gross Balance, Beginning Balance $ 421,541 $ 343,683
Accumulated impairment losses (85,509) (85,509)
Net Balance, Beginning Balance 336,032 258,174
Increase Due to Acquisition 3,953 78,592
Currency translation 11,768 (734)
Goodwill period adjustments 15,721 77,858
Gross Balance, Ending Balance 437,262 421,541
Accumulated impairment losses (85,509) (85,509)
Net Balance, Ending Balance 351,753 336,032
Stock-Preparation    
Goodwill [Roll Forward]    
Net Balance, Beginning Balance 19,399  
Net Balance, Ending Balance 19,685 19,399
Fluid-Handling    
Goodwill [Roll Forward]    
Net Balance, Beginning Balance 63,382  
Net Balance, Ending Balance 65,755 63,382
Doctoring, Cleaning, & Filtration    
Goodwill [Roll Forward]    
Net Balance, Beginning Balance 34,297  
Net Balance, Ending Balance 35,682 34,297
Wood Processing Systems    
Goodwill [Roll Forward]    
Net Balance, Beginning Balance 102,629  
Net Balance, Ending Balance 110,687 102,629
Material Handling Systems    
Goodwill [Roll Forward]    
Net Balance, Beginning Balance 116,325  
Net Balance, Ending Balance 119,944 116,325
Operating Segments | Flow Control    
Goodwill [Roll Forward]    
Gross Balance, Beginning Balance 97,680 98,261
Accumulated impairment losses 0 0
Net Balance, Beginning Balance 97,680 98,261
Increase Due to Acquisition 0 0
Currency translation 3,757 (581)
Goodwill period adjustments 3,757 (581)
Gross Balance, Ending Balance 101,437 97,680
Accumulated impairment losses 0 0
Net Balance, Ending Balance 101,437 97,680
Operating Segments | Industrial Processing    
Goodwill [Roll Forward]    
Gross Balance, Beginning Balance 207,536 206,664
Accumulated impairment losses (85,509) (85,509)
Net Balance, Beginning Balance 122,027 121,155
Increase Due to Acquisition 3,953 0
Currency translation 4,392 872
Goodwill period adjustments 8,345 872
Gross Balance, Ending Balance 215,881 207,536
Accumulated impairment losses (85,509) (85,509)
Net Balance, Ending Balance 130,372 122,027
Operating Segments | Material Handling Systems    
Goodwill [Roll Forward]    
Gross Balance, Beginning Balance 116,325 38,758
Accumulated impairment losses 0 0
Net Balance, Beginning Balance 116,325 38,758
Increase Due to Acquisition 0 78,592
Currency translation 3,619 (1,025)
Goodwill period adjustments 3,619 77,567
Gross Balance, Ending Balance 119,944 116,325
Accumulated impairment losses 0 0
Net Balance, Ending Balance $ 119,944 $ 116,325