New Accounting Pronouncements (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 03, 2021	Jan. 02, 2022	Mar. 29, 2020
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Earnings invested in the business	$ 1,162.9	$ 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)