Income Taxes - Significant Components of Deferred Income Tax Assets and Liabilities (Detail) - USD ($) $ in Millions	Jan. 01, 2022	Jan. 02, 2021
Deferred income tax assets:
Accounts receivable and inventory valuation allowances	$ 5.2	$ 3.5
Deferred compensation accruals	7.2	4.5
Accrued pension expense	25.7	33.4
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Share-based Compensation Cost	8.2	9.1
Net operating loss and foreign tax credit carryforwards	18.5	21.0
Book over tax depreciation and amortization	0.4	0.4
Tenant lease expenses	4.0	4.4
Environmental reserve	33.7	24.9
Other	9.5	9.1
Total gross deferred income tax assets	112.4	110.3
Less valuation allowance	(24.6)	(22.3)
Net deferred income tax assets	87.8	88.0
Deferred income tax liabilities:
Intangible assets	(190.6)	(105.3)
Deferred Tax Liabilities, Deferred Expense	(9.3)	(10.7)
Deferred Tax Liabilities, Other	5.0	4.3
Total deferred income tax liabilities	(204.9)	(120.3)
Total deferred income tax liabilities	$ (117.1)	$ (32.3)