Income Taxes - Reconciliation of Income Tax Expense, Net of Federal Income Tax Rate (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Income Taxes [Line Items]
Income taxes at U.S. statutory rate of 21%	$ 16.9	$ (38.7)	$ 30.6
State income taxes, net of federal income tax	(1.1)	(8.1)	0.5
Adjustments for uncertain tax positions	(1.3)	(1.4)	(1.0)
Change in valuation allowance	2.2	4.7	(0.2)
Change in state tax rates	0.0	0.0	(1.5)
Global Intangible Low Tax Income Tax	3.2	2.5	2.1
Foreign Derived Intangible Income Tax Credit	(3.7)	(1.6)	(4.4)
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Share-based Compensation Cost	5.2	1.6	2.0
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-based Payment Arrangement, Amount	(3.7)	(4.6)	(5.1)
Effective Income Tax Rate Reconciliation Deferred ax on Future Dividends Due To TCJA	(0.9)	1.0	0.6
Tax Adjustments, Settlements, and Unusual Provisions	2.5	0.0	0.0
Deferred Income Taxes and Tax Credits	(1.2)	0.0	0.0
Other Permanent adjustments and non-deductible expenses	(0.3)	1.0	(0.6)
Other	(0.4)	0.2	(0.3)
Income tax expense (benefit)	13.3	(45.5)	17.0
HONG KONG
Income Taxes [Line Items]
Foreign earnings taxed at rates different from the U.S. statutory rate:	(7.2)	(3.3)	(8.5)
OTHER JURISDICTIONS
Income Taxes [Line Items]
Foreign earnings taxed at rates different from the U.S. statutory rate:	$ 3.1	$ 1.2	$ 2.8