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Income Taxes - Deferred Tax Balance Classified in Consolidated Balance Sheet (Details) - USD ($) $ in Millions | Jan. 02, 2022 | Jan. 03, 2021
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Income Tax Disclosure [Abstract] |  |
Deferred tax asset | $ 302.8 | $ 282.0
Other long-term liabilities | (71.6) | (39.7)
Deferred tax assets, net | $ 231.2 | $ 242.3

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