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Schedule II - Valuation Reserves (Details) - Valuation Reserves - USD ($) $ in Millions | 12 Months Ended
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Jan. 02, 2022 | Jan. 03, 2021 | Dec. 29, 2019
Allowance for doubtful accounts |  |  |
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Balance at beginning of year |  | $ 12.9 | $ 13.2
Charged to costs and expenses |  |  | 3.4
Charged to other accounts |  |  | 0.7
Currency exchange effects |  |  | 0.0
Deductions from reserves |  |  | (4.4)
Balance at end of year |  |  | 12.9
Deferred tax assets valuation allowance |  |  |
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Balance at beginning of year | $ 20.2 | 19.0 | 27.8
Charged to costs and expenses | 0.5 | 3.7 | 6.1
Charged to other accounts | 0.0 | 0.0 | 0.0
Currency exchange effects | (0.8) | 0.5 | (0.3)
Deductions from reserves | (0.9) | (3.0) | (14.6)
Balance at end of year | $ 19.0 | $ 20.2 | $ 19.0

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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 http://asc.fasb.org/extlink&oid=120395691&loc=d3e24092-122690 + Details
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