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Income Taxes - Differences Between Income Taxes From Continuing Operations and U.S. Statutory Rate (Details) - USD ($) $ in Millions | 12 Months Ended
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Jan. 01, 2023 | Jan. 02, 2022 | Jan. 03, 2021
Income Tax Disclosure [Abstract] |  |  |
Income tax based on statutory rate | $ (14.9) | $ 39.0 | $ (22.4)
State income taxes, net of federal benefit | 1.6 | 1.1 | (5.1)
Foreign tax rate differential | 1.6 | 12.2 | 2.8
General business credits | (10.7) | (9.7) | (9.9)
Life insurance cash surrender value | 7.8 | (5.2) | (4.6)
Foreign items | 0.2 | 1.7 | (1.8)
Sale of foreign subsidiaries | 3.9 | 0.0 | (6.6)
Foreign business taxes | 1.8 | 2.1 | 3.0
Tax law change | 0.0 | (5.2) | (1.7)
Non-deductible goodwill impairment | 2.7 | 0.0 | 11.9
Other | (1.9) | (0.9) | 0.4
Total provision | $ (7.9) | $ 35.1 | $ (34.0)

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- Definition The portion of the difference between total income tax expense or benefit as reported in the Income Statement and the expected income tax expense or benefit computed by applying the domestic federal statutory income tax rates attributable to foreign business taxes classified as income taxes which are based on revenue or receipts reduced by one or more category of expense. + References No definition available. + Details
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- Definition The portion of the difference between total income tax expense or benefit as reported in the Income Statement and the expected income tax expense or benefit computed by applying the domestic federal statutory income tax rates attributable to gains and losses on company owned life insurance contracts. + References No definition available. + Details
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- Definition The portion of the difference between total income tax expense or benefit as reported in the Income Statement and the expected income tax expense or benefit computed by applying the domestic federal statutory income tax rates to pretax income from continuing operations, that is attributable to changes in the enacted income tax laws in the period. + References No definition available. + Details
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- Definition Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB TOPIC 6.I.7) -URI https://asc.fasb.org/extlink&oid=122134291&loc=d3e330036-122817 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 10 -URI https://asc.fasb.org/extlink&oid=121826272&loc=d3e32672-109319 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 22 -Subparagraph (h) -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e8736-108599 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08(h)) -URI https://asc.fasb.org/extlink&oid=120395691&loc=d3e23780-122690 Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 250 -SubTopic 10 -Section 50 -Paragraph 9 -URI https://asc.fasb.org/extlink&oid=124431687&loc=d3e22663-107794 Reference 6: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 20 -Section 45 -Paragraph 2 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=123586238&loc=d3e38679-109324 Reference 7: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 944 -SubTopic 220 -Section S99 -Paragraph 1 -Subparagraph (SX 210.7-04(9)) -URI https://asc.fasb.org/extlink&oid=120400993&loc=SL114874131-224263 Reference 8: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 250 -SubTopic 10 -Section 50 -Paragraph 8 -URI https://asc.fasb.org/extlink&oid=124431687&loc=d3e22658-107794 + Details
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