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Income Taxes - Differences Between Income Taxes From Continuing Operations and U.S. Statutory Rate (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Income Tax Disclosure [Abstract]
U.S. statutory rate	21.00%	21.00%	21.00%
Income tax based on statutory rate	$ 5.2	$ (14.9)	$ 39.0
State income taxes, net of federal benefit	(0.9)	1.6	1.1
Foreign tax rate differential	4.6	1.6	12.2
General business credits	(8.5)	(10.7)	(9.7)
Life insurance cash surrender value	(6.5)	7.8	(5.2)
Foreign items	3.0	0.1	1.5
Foreign-derived intangible income deduction	(2.3)	(2.3)	(0.6)
Sale of foreign subsidiaries	0.0	3.9	0.0
Foreign business taxes	1.1	1.8	2.1
Tax law change	0.0	0.0	(5.2)
Change in deferred tax realizability	4.4	0.0	(0.7)
Non-deductible expenses	0.7	0.0	0.1
Uncertain tax positions	(0.3)	0.1	0.2
Stock compensation	0.7	0.6	(0.4)
Outside basis difference on held for sale assets	(13.1)	0.0	0.0
Non-deductible goodwill impairment	0.0	2.7	0.0
Other	0.4	(0.2)	0.7
Total provision	$ (11.5)	$ (7.9)	$ 35.1

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The portion of the difference between total income tax expense or benefit as reported in the Income Statement and the expected income tax expense or benefit computed by applying the domestic federal statutory income tax rates attributable to foreign business taxes classified as income taxes which are based on revenue or receipts reduced by one or more category of expense.

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The portion of the difference between total income tax expense or benefit as reported in the Income Statement and the expected income tax expense or benefit computed by applying the domestic federal statutory income tax rates attributable to gains and losses on company owned life insurance contracts.

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The portion of the difference between total income tax expense or benefit as reported in the Income Statement and the expected income tax expense or benefit computed by applying the domestic federal statutory income tax rates to pretax income from continuing operations, that is attributable to changes in the enacted income tax laws in the period.

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Amount of reported income tax benefit from difference to expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operations, attributable to foreign-derived intangible income (FDII).

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Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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