Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Detail) - USD ($) $ in Millions	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Components of Deferred Tax Assets and Liabilities [Abstract]
Inventories	$ 37.5	$ 41.4	$ 34.7
Accruals not currently deductible	77.6	75.1	62.4
Tax credit carryforward	1.2	2.4	2.0
Employee benefits	6.4	32.4	41.3
Net operating losses	35.0	37.1	40.4
Depreciation and amortization	(213.2)	(192.0)	(178.9)
Valuation allowance	(24.5)	(26.7)	(27.8)
Equity-based compensation	13.1	14.3	16.2
Undistributed non-U.S. earnings	(4.4)	(5.4)	(6.6)
Other		1.3
Other	(1.9)		(0.7)
Net deferred income tax liabilities	$ (73.2)	$ (20.1)	$ (17.0)

Deferred tax assets net operating loss noncurrent

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Deferred Tax Liabilities, Depreciation And Amortization

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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from inventory.

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Amount, before allocation of valuation allowance, of deferred tax asset attributable to deductible temporary differences, classified as other.

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Amount, before allocation of a valuation allowances, of deferred tax assets attributable to deductible tax credit carryforwards including, but not limited to, research, foreign, general business, alternative minimum tax, and other deductible tax credit carryforwards.

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Amount, before allocation of valuation allowance, of deferred tax asset attributable to deductible temporary differences from employee benefits, classified as other.

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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from share-based compensation.

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Amount, before allocation of valuation allowance, of deferred tax asset attributable to deductible temporary differences from reserves, classified as other.

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Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized.

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Amount, after deferred tax asset, of deferred tax liability attributable to taxable differences without jurisdictional netting.

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Amount of deferred tax liability attributable to taxable temporary differences classified as other.

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Amount of deferred tax liability attributable to taxable temporary differences from undistributed earnings of subsidiary and other recognized entity not within country of domicile. Includes, but is not limited to, other basis differences.

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