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New Accounting Pronouncements (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 03, 2021	Jan. 01, 2023	Jan. 02, 2022	Mar. 29, 2020
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Earnings invested in the business		$ 1,216.3	$ 1,315.0
Accounting Standards Update 2018-15
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Hosting arrangement, service contract, implementation cost, expense, amortization	$ 1.0
Payments for hosting arrangement, service contract	$ 5.1
Cumulative Effect, Period of Adoption, Adjustment | Accounting Standards Update 2016-13
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Earnings invested in the business				$ (0.7)

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Amount of amortization expense for capitalized implementation cost from hosting arrangement that is service contract.

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