Consolidated Statements of Changes in Shareholders’ Equity - USD ($) $ in Thousands		Total	Cumulative Effect, Period of Adoption, Adjustment	Common Stock	Additional Paid-in Capital	Shareholder Note Receivable	Foreign Currency Translation Adjustment	Unrealized Loss on Cash Flow Hedges	Unrealized Loss on Employee Benefit Plans	Retained (Deficit) Earnings	Retained (Deficit) Earnings Cumulative Effect, Period of Adoption, Adjustment	Noncontrolling Interest	Noncontrolling Interest Cumulative Effect, Period of Adoption, Adjustment
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Change in accounting standard		$ 861,564	$ 31,478	$ 1,250	$ 820,194	$ (17,491)	$ (2,311)	$ (3,734)	$ 0	$ (67,609)	$ 29,767	$ 131,265	$ 1,711
Beginning balance (in shares) at Dec. 30, 2018				124,987,370
Beginning balance at Dec. 30, 2018		861,564	$ 31,478	$ 1,250	820,194	(17,491)	(2,311)	(3,734)	0	(67,609)	$ 29,767	131,265	$ 1,711
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss)/income		(34,001)								(37,409)		3,408
Other comprehensive income/(loss), before reclassifications		(1,280)					6,940	(8,220)
Reclassification from AOCI		1,774						1,774
Share-based compensation		10,736			10,675							61
Purchase of shares by noncontrolling interest		15,621				(1,646)						17,267
Noncontrolling interest of acquired entity		16,010										16,010
Distribution to shareholders		(2,629)								(2,629)
Distribution to noncontrolling interest		(18,856)				2,269						(21,125)
Non-cash contribution for tax sharing arrangements with related parties		3,412			3,412
Other		(412)			(48)	(364)
Ending balance (in shares) at Dec. 29, 2019				124,987,370
Ending balance at Dec. 29, 2019		883,417		$ 1,250	834,233	(17,232)	4,629	(10,180)	0	(77,880)		148,597
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Change in accounting standard		883,417		$ 1,250	834,233	(17,232)	4,629	(10,180)	0	(77,880)		148,597
Net (loss)/income		(60,940)								(64,301)		3,361
Other comprehensive income/(loss), before reclassifications		(2,743)					18,879	(22,063)	(106)			547
Reclassification from AOCI		7,633						7,633
Share-based compensation		11,601			11,601
Purchase of shares by noncontrolling interest		21,386				(1,467)						22,853
Distribution to shareholders		(42)			(39)					(3)
Distribution to noncontrolling interest		(11,389)				294						(11,683)
Other		$ (564)			(296)	(255)				(13)
Ending balance (in shares) at Jan. 03, 2021		124,987,370		124,987,370
Ending balance at Jan. 03, 2021		$ 848,359		$ 1,250	845,499	(18,660)	23,508	(24,610)	(106)	(142,197)		163,675
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Change in accounting standard		848,359		$ 1,250	845,499	(18,660)	23,508	(24,610)	(106)	(142,197)		163,675
Net (loss)/income		(14,843)								(24,506)		9,663
Other comprehensive income/(loss), before reclassifications		(11,975)					(14,541)	3,318	(338)			(414)
Reclassification from AOCI		10,291						10,291
Share-based compensation		22,923			22,923
Purchase of shares by noncontrolling interest		53,403				14,427						38,976
Noncontrolling interest of acquired entity		9,822										9,822
Distribution to shareholders		(42,334)			(42,334)
Distribution to noncontrolling interest		(23,354)			(13,413)	363						(10,304)
Other		(160)			(29)	(129)				(1)		(1)
Capital contribution from shareholders (in shares)				6,997,450
Capital contribution from shareholders		120,532		$ 70	120,845	(383)
Dividends declared on common stock and equivalents	[1]	(11,705)								(11,705)
Conversion of noncontrolling interest to additional paid-in capital in connection with the Merger (in shares)				9,370,881
Conversion of noncontrolling interest to additional paid-in capital in connection with the Merger		0		$ 93	107,258							(107,351)
Issuance of common stock in connection with initial public offering, net of underwriting discounts and issuance costs (in shares)				32,911,765
Issuance of common stock in connection with initial public offering, net of underwriting discounts and issuance costs		514,871		$ 329	514,542
Issuance of common stock upon settlement of RSUs, net of shares withheld (in shares)				1,422,830
Issuance of common stock upon settlement of RSUs, net of shares withheld		(17,169)		$ 15	(17,184)
Repurchase of common stock (in shares)				(8,439,441)
Repurchase of common stock		$ (123,006)		$ (84)	(122,922)
Ending balance (in shares) at Jan. 02, 2022		167,250,855		167,250,855
Ending balance at Jan. 02, 2022		$ 1,335,655		$ 1,673	1,415,185	(4,382)	8,967	(11,001)	(444)	(178,409)		104,066
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Change in accounting standard		$ 1,335,655		$ 1,673	$ 1,415,185	$ (4,382)	$ 8,967	$ (11,001)	$ (444)	$ (178,409)		$ 104,066

[1] Includes a $0.035 cash dividend per common share declared in the fourth quarter of fiscal 2021 and expected to be paid in the first quarter of fiscal 2022.