SUPPLEMENTAL EQUITY AND COMPREHENSIVE INCOME INFORMATION - Income Tax (Benefit) Expense Allocated to Each Component of Other Comprehensive loss (Details) - USD ($) $ in Millions	12 Months Ended
Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Foreign currency translation:
Translation (loss) gain	$ (7.0)	$ (23.2)	$ 27.5
Pension and other postretirement benefits:
Net gain recognized from actuarial gain/loss and prior service cost/credit	0.5	8.5	3.1
Reclassifications to net income	1.1	1.6	0.9
Cash flow hedges:
Gains (losses) recognized on cash flow hedges	1.6	1.7	(2.3)
Reclassifications to net income	0.4	(0.5)	0.0
Income tax (benefit) expense allocated to components of other comprehensive income (loss)	$ (3.4)	$ (11.9)	$ 29.2

Amount of tax expense (benefit) for (increase) decrease in value of benefit obligation for change in actuarial assumptions and increase (decrease) in value of plan assets from experience different from that assumed of defined benefit plan, that has not been recognized in net periodic benefit (cost) credit.

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Amount, before reclassification, of tax expense (benefit) for gain (loss) from derivative instrument designated and qualifying as cash flow hedge included in assessment of hedge effectiveness.

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Amount of tax expense (benefit) for reclassification of gain (loss) from accumulated other comprehensive income (AOCI) for derivative instrument designated and qualifying as cash flow hedge included in assessment of hedge effectiveness.

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Amount of tax expense (benefit), after reclassification adjustments of gain (loss) on foreign currency translation adjustments, foreign currency transactions designated and effective as economic hedges of a net investment in a foreign entity and intra-entity foreign currency transactions that are of a long-term-investment nature.

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Amount of tax (expense) benefit for reclassification adjustment from accumulated other comprehensive (income) loss of defined benefit plan.

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Amount of tax expense (benefit) allocated to other comprehensive income (loss) attributable to parent entity.

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