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Accumulated Other Comprehensive Income (Changes in Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($) $ in Millions | 12 Months Ended
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Jan. 02, 2021 | Dec. 28, 2019 | Dec. 29, 2018
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |  |
Other Comprehensive Income (Loss), Unrealized Gain (Loss) on Derivatives Arising During Period, Net of Tax |  | $ (17.6) |  | $ 0.9 |  | $ 14.4
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward] |  |  |  |  |  |
Accumulated other comprehensive income (loss), Beginning balance |  | (102.1) |  | (88.3) |  |
Other comprehensive income (loss) before reclassifications | [1] | (36.8) |  | (8.3) |  |
Amounts reclassified from accumulated other comprehensive income (loss) |  | 10.1 |  | (7.2) |  |
Reclassification from Accumulated Other Comprehensive Income, Current Period, Tax |  | (1.8) |  | 1.7 |  |
Net reclassifications |  | 8.3 |  | (5.5) |  |
Other comprehensive income (loss) |  | (28.5) | [1] | (13.8) | [1] | (5.0)
Accumulated other comprehensive income (loss), Ending Balance |  | (130.6) |  | (102.1) |  | (88.3)
Interest rate swap [Member] |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward] |  |  |  |  |  |
Amounts reclassified from accumulated other comprehensive income (loss) |  | (4.9) |  |  |  |
Foreign currency translation adjustments [Member] |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward] |  |  |  |  |  |
Accumulated other comprehensive income (loss), Beginning balance |  | (47.6) |  | (53.0) |  |
Other comprehensive income (loss) before reclassifications |  | 10.8 |  | 5.4 |  |
Amounts reclassified from accumulated other comprehensive income (loss) |  | 0.0 |  | 0.0 |  |
Reclassification from Accumulated Other Comprehensive Income, Current Period, Tax |  | 0.0 |  | 0.0 |  |
Net reclassifications |  | 0.0 |  | 0.0 |  |
Other comprehensive income (loss) | [1] | 10.8 |  | 5.4 |  |
Accumulated other comprehensive income (loss), Ending Balance |  | (36.8) |  | (47.6) |  | (53.0)
Derivative [Member] |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |  |
Other Comprehensive Income (Loss), Unrealized Gain (Loss) on Derivatives Arising During Period, Net of Tax |  | (17.6) |  | 0.9 |  |
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward] |  |  |  |  |  |
Accumulated other comprehensive income (loss), Beginning balance |  | (5.8) |  | 0.9 |  |
Amounts reclassified from accumulated other comprehensive income (loss) | [2] | 3.5 |  | (9.8) |  |
Reclassification from Accumulated Other Comprehensive Income, Current Period, Tax |  | (0.4) |  | 2.2 |  |
Net reclassifications |  | 3.1 |  | (7.6) |  |
Other comprehensive income (loss) | [1] | (14.5) |  | (6.7) |  |
Accumulated other comprehensive income (loss), Ending Balance |  | (20.3) |  | (5.8) |  | 0.9
Pension adjustments [Member] |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward] |  |  |  |  |  |
Accumulated other comprehensive income (loss), Beginning balance |  | (48.7) |  | (36.2) |  |
Other comprehensive income (loss) before reclassifications |  | (30.0) |  | (14.6) |  |
Amounts reclassified from accumulated other comprehensive income (loss) | [3] | 6.6 |  | 2.6 |  |
Reclassification from Accumulated Other Comprehensive Income, Current Period, Tax |  | (1.4) |  | (0.5) |  |
Net reclassifications |  | 5.2 |  | 2.1 |  |
Other comprehensive income (loss) | [1] | (24.8) |  | (12.5) |  |
Accumulated other comprehensive income (loss), Ending Balance |  | $ (73.5) |  | $ (48.7) |  | $ (36.2)
[1] | Other comprehensive income (loss) is reported net of taxes and noncontrolling interest.
[2] | Amounts related to foreign currency derivatives deemed to be highly effective are included in cost of goods sold. Amounts related to foreign currency derivatives that are no longer deemed to be highly effective are included in other income. Amounts related to interest rate swaps and the cross currency swap are included in interest expense.
[3] | Amounts reclassified are included in the computation of net pension expense.

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- Definition Accumulated change in equity from transactions and other events and circumstances from non-owner sources, net of tax effect, at period end. Excludes Net Income (Loss), and accumulated changes in equity from transactions resulting from investments by owners and distributions to owners. Includes foreign currency translation items, certain pension adjustments, unrealized gains and losses on certain investments in debt and equity securities, other than temporary impairment (OTTI) losses related to factors other than credit losses on available-for-sale and held-to-maturity debt securities that an entity does not intend to sell and it is not more likely than not that the entity will be required to sell before recovery of the amortized cost basis, as well as changes in the fair value of derivatives related to the effective portion of a designated cash flow hedge. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(30)(a)(4)) -URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 11 -URI http://asc.fasb.org/extlink&oid=121641772&loc=d3e637-108580 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 944 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.7-03(a)(23)(a)(3)) -URI http://asc.fasb.org/extlink&oid=120400017&loc=d3e572229-122910 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 14A -URI http://asc.fasb.org/extlink&oid=121641772&loc=SL7669686-108580 Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 944 -SubTopic 40 -Section 65 -Paragraph 2 -Subparagraph (h)(2) -URI http://asc.fasb.org/extlink&oid=121370832&loc=SL117420844-207641 Reference 6: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 944 -SubTopic 40 -Section 65 -Paragraph 2 -Subparagraph (g)(2)(ii) -URI http://asc.fasb.org/extlink&oid=121370832&loc=SL117420844-207641 Reference 7: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 14 -URI http://asc.fasb.org/extlink&oid=121641772&loc=d3e681-108580 + Details
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