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Other Income (Expense), Net - Schedule of Other Income (Expense), Net (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Jan. 01, 2023 | Jan. 02, 2022 | Jan. 03, 2021
Other Income and Expenses [Abstract] |  |  |
Interest income | $ 2.3 | $ 0.2 | $ 0.6
Interest expense | (2.1) | (2.5) | (3.0)
Dividend income | 0.0 | 2.7 | 2.4
Foreign exchange gains (losses) | 4.8 | (1.0) | 3.3
Other income |  |  | 0.1
Other expense | (3.4) | (3.0) |
Other Income (Expense), Net | 1.6 | (3.6) | 3.4
Gain on foreign currency remeasurement | $ 5.5 | $ 0.0 | $ 0.0

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- Definition Amount before tax of foreign currency transaction realized and unrealized gain (loss) recognized in the income statement. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 830 -SubTopic 20 -Section 45 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=125521441&loc=d3e30690-110894 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 830 -SubTopic 20 -Section 35 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=123602790&loc=d3e30226-110892 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 830 -SubTopic 10 -Section 45 -Paragraph 17 -URI https://asc.fasb.org/extlink&oid=126980362&loc=d3e28228-110885 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 830 -SubTopic 20 -Section 50 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=124440516&loc=d3e30840-110895 + Details
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