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Summary of Significant Accounting Policies - Allowance for Doubtful Accounts (Details) - Allowance for doubtful accounts - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2022 | Jan. 01, 2022 | Jan. 02, 2021
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Balance at beginning of period | $ 2.8 | $ 5.5 | $ 3.6
Current provision and adjustments | 1.7 | (0.9) | 3.6
Amounts written off | (1.0) | (1.9) | (1.7)
Recoveries and other | 0.2 | 0.1 | 0.0
Divestiture of business | (0.5) | 0.0 | 0.0
Balance at end of period | $ 3.2 | $ 2.8 | $ 5.5

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- Definition Amount of increase (decrease) in valuation and qualifying accounts and reserves from adjustment. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 4 -Subparagraph (SX 210.12-09) -URI https://asc.fasb.org/extlink&oid=120395691&loc=d3e24092-122690 + Details
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