Nature of Operations and Summary of Significant Accounting Policies - Goodwill (Details) - USD ($)	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Goodwill [Roll Forward]
Gross balance, beginning balance	$ 482,396,000	$ 437,262,000
Accumulated impairment losses	(85,509,000)	(85,509,000)
Net balance, beginning balance	396,887,000	351,753,000
Acquisitions (Note 2)	1,198,000	53,757,000
Impairment loss	(29,000)	0	$ 0
Currency translation	(12,601,000)	(8,623,000)
Goodwill period activity	(11,432,000)	45,134,000
Gross balance, ending balance	470,993,000	482,396,000	437,262,000
Accumulated impairment losses	(85,538,000)	(85,509,000)	(85,509,000)
Net balance, ending balance	385,455,000	396,887,000	351,753,000
2022 Business Acquisitions
Goodwill [Roll Forward]
Acquisitions (Note 2)	1,733,000
Fluid-Handling
Goodwill [Roll Forward]
Net balance, beginning balance	64,003,000
Net balance, ending balance	62,426,000	64,003,000
Doctoring, Cleaning, & Filtration
Goodwill [Roll Forward]
Net balance, beginning balance	59,586,000
Net balance, ending balance	55,883,000	59,586,000
Stock-Preparation
Goodwill [Roll Forward]
Net balance, beginning balance	20,819,000
Net balance, ending balance	20,311,000	20,819,000
Wood Processing
Goodwill [Roll Forward]
Net balance, beginning balance	108,654,000
Net balance, ending balance	104,070,000	108,654,000
Material Handling
Goodwill [Roll Forward]
Net balance, beginning balance	143,825,000
Net balance, ending balance	142,765,000	143,825,000
Operating Segments | Flow Control
Goodwill [Roll Forward]
Gross balance, beginning balance	123,589,000	101,437,000
Accumulated impairment losses	0	0
Net balance, beginning balance	123,589,000	101,437,000
Acquisitions (Note 2)	(33,000)	25,805,000
Impairment loss	0
Currency translation	(5,247,000)	(3,653,000)
Goodwill period activity	(5,280,000)	22,152,000
Gross balance, ending balance	118,309,000	123,589,000	101,437,000
Accumulated impairment losses	0	0	0
Net balance, ending balance	118,309,000	123,589,000	101,437,000
Operating Segments | Industrial Processing
Goodwill [Roll Forward]
Gross balance, beginning balance	214,982,000	215,881,000
Accumulated impairment losses	(85,509,000)	(85,509,000)
Net balance, beginning balance	129,473,000	130,372,000
Acquisitions (Note 2)	0	1,116,000
Impairment loss	(29,000)
Currency translation	(5,063,000)	(2,015,000)
Goodwill period activity	(5,092,000)	(899,000)
Gross balance, ending balance	209,919,000	214,982,000	215,881,000
Accumulated impairment losses	(85,538,000)	(85,509,000)	(85,509,000)
Net balance, ending balance	124,381,000	129,473,000	130,372,000
Operating Segments | Material Handling
Goodwill [Roll Forward]
Gross balance, beginning balance	143,825,000	119,944,000
Accumulated impairment losses	0	0
Net balance, beginning balance	143,825,000	119,944,000
Acquisitions (Note 2)	1,231,000	26,836,000
Impairment loss	0
Currency translation	(2,291,000)	(2,955,000)
Goodwill period activity	(1,060,000)	23,881,000
Gross balance, ending balance	142,765,000	143,825,000	119,944,000
Accumulated impairment losses	0	0	0
Net balance, ending balance	$ 142,765,000	$ 143,825,000	$ 119,944,000