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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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