Income Taxes - Narrative (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Income Tax Disclosure [Line Items]
Effective income tax rate (percentage)	24.00%	9.40%	22.20%
Federal statutory income tax rate (percentage)	21.00%	21.00%	21.00%
Deferred payroll taxes under CARES Act		$ 4,100
Deferred tax assets, capitalized costs	$ 4,805	0
Deferred tax assets, prepaids, accruals and reserves	8,777	3,659
Deferred tax liabilities, intangible assets	30,736	30,745
Reduction of non-current deferred tax assets by unrecognized tax benefits	2,800	3,000
Unrecognized tax benefits	8,220	10,799	$ 25,486	$ 28,143
Previously unrecognized tax benefits recognized as income tax benefits	(2,663)	(14,962)	$ (3,324)
Amount of unrecognized tax benefit reasonably possible to be recognized in next twelve months	2,500
Unrecognized tax benefits that would impact effective tax rate	7,500
Unrecognized tax benefits, cash required if unfavorably settled	5,400
Unrecognized tax benefit, accrued interest and penalties	900
Discontinued Operations
Income Tax Disclosure [Line Items]
Previously unrecognized tax benefits recognized as income tax benefits		$ 12,700
Foreign Tax Authority
Income Tax Disclosure [Line Items]
Tax credit carryforward	10,100
State and Local Jurisdiction | Continuing Operations
Income Tax Disclosure [Line Items]
Net operating loss carryforwards	153,000
Valuation allowances on net operating loss carryforwards	90,100
State and Local Jurisdiction | Discontinued Operations
Income Tax Disclosure [Line Items]
Net operating loss carryforwards	25,700
Valuation allowances on net operating loss carryforwards	$ 25,700