Business Segment Information - Components of Restructuring and Other Action-Related Charges (Detail) - USD ($) $ in Thousands	3 Months Ended	12 Months Ended
	Oct. 02, 2021	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
COVID-19 related charges
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges				$ 49,460
Total included in operating profit
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		$ 59,858	$ 131,710	734,196
Total included in operating profit \| Supply chain actions
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	19,636
Total included in operating profit \| Program exit costs
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	9,854
Total included in operating profit \| Other restructuring costs
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	7,763
Total included in operating profit \| Write-off of acquisition tax asset
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	16,858
Total included in operating profit \| Full Potential plan \| Professional services
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		23,994	44,617	0
Total included in operating profit \| Full Potential plan \| Loss on classification of assets held for sale \| U.S. Sheer Hosiery
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		(3,535)	38,364	0
Total included in operating profit \| Full Potential plan \| Operating model
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges	$ 16,000	8,221	23,191	0
Total included in operating profit \| Full Potential plan \| Impairment of intangible assets
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	7,302	0
Total included in operating profit \| Full Potential plan \| Supply chain segmentation
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		17,982	5,419	0
Total included in operating profit \| Full Potential plan \| Technology
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		11,922	4,617	0
Total included in operating profit \| Full Potential plan \| Other
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		1,274	8,200	0
Total included in operating profit \| Full Potential plan \| Inventory SKU rationalization
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	192,704
Total included in operating profit \| Full Potential plan \| PPE inventory write-off
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	362,913
Total included in operating profit \| Full Potential plan \| PPE vendor commitments
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	26,400
Total included in operating profit \| COVID-19 related charges \| Supply chain re-startup charges
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	48,608
Total included in operating profit \| COVID-19 related charges \| Bad debt charges
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	9,418
Total included in operating profit \| COVID-19 related charges \| Inventory
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	14,869
Total included in operating profit \| COVID-19 related charges \| Goodwill
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	0	25,173
Early extinguishment and refinancing of debt included in other expenses
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		0	45,699	0
Total included in income (loss) from continuing operations before income tax expense
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		59,858	177,409	734,196
Total included in income tax expense (benefit)
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		(413,766)	53,665	205,342
Total included in income tax expense (benefit) \| Discrete tax benefits
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		(422,918)	27,147	69,628
Total included in income tax expense (benefit) \| Tax effect on actions
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		9,152	26,518	135,714
Total restructuring and other action-related charges
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		473,624	123,744	528,854
Cost of sales
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		17,025	10,098	670,618
Selling, general and administrative expenses
Segment Reporting, Other Significant Reconciling Item [Line Items]
Restructuring and other action-related charges		$ 42,833	$ 121,612	$ 63,578