Summary of Significant Accounting Policies - Changes in the Carrying Amount of Goodwill (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021
Goodwill [Line Items]
Goodwill, Impaired, Accumulated Impairment Loss	$ 0
Goodwill [Roll Forward]
Balance beginning of period	1,934,261	$ 1,849,747
Goodwill, Acquired During Period	330,019	56,773
Measurement period adjustments to goodwill acquired in prior year	2,411	(7,018)
Goodwill Translation Accounting Adjustments	23,222	(34,759)
Balance end of period	2,243,469	1,934,261
Commercial Foodservice Equipment Group
Goodwill [Roll Forward]
Balance beginning of period	1,228,436	1,153,552
Goodwill, Acquired During Period	63,849	56,773
Measurement period adjustments to goodwill acquired in prior year	2,411	(56)
Goodwill Translation Accounting Adjustments	9,609	(18,167)
Balance end of period	1,285,087	1,228,436
Food Processing Group
Goodwill [Roll Forward]
Balance beginning of period	255,798	257,679
Goodwill, Acquired During Period	0	0
Measurement period adjustments to goodwill acquired in prior year	0	(8,732)
Goodwill Translation Accounting Adjustments	5,083	(6,851)
Balance end of period	250,715	255,798
Residential Kitchen
Goodwill [Roll Forward]
Balance beginning of period	450,027	438,516
Goodwill, Acquired During Period	266,170	0
Measurement period adjustments to goodwill acquired in prior year	0	1,770
Goodwill Translation Accounting Adjustments	8,530	(9,741)
Balance end of period	$ 707,667	$ 450,027