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Restatement of Consolidated Financial Statements (CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME) (Details) - USD ($) $ in Thousands	3 Months Ended								6 Months Ended		9 Months Ended		12 Months Ended
	Oct. 01, 2022	Jul. 02, 2022	Apr. 02, 2022	Jan. 01, 2022	Oct. 02, 2021	Jul. 03, 2021	Apr. 03, 2021	Jan. 02, 2021	Apr. 02, 2022	Apr. 03, 2021	Jul. 02, 2022	Jul. 03, 2021	Oct. 01, 2022	Oct. 02, 2021	Oct. 03, 2020
Restatement of Consolidated Financial Statements
Net income	$ 58,364	$ 77,222	$ 48,621	$ 56,177	$ 55,925	$ 116,195	$ 27,868	$ 49,558	$ 104,798	$ 77,426	$ 182,020	$ 193,621	$ 240,384	$ 249,546	$ 133,169
Other comprehensive income (loss), net of tax:
Change in foreign currency translation adjustments													(12,191)	(9,223)	(925)
Derivative financial instruments:
Change in net unrealized amount													8,414	3,034	(8,146)
Amount reclassified into net income													10,003	4,863	1,332
Defined benefit plans:
Changes in unrecognized net actuarial losses and unrecognized transition cost													5,884	4,713	(6,240)
Amortization of actuarial losses and transition cost													3,525	2,417	2,106
Total other comprehensive income (loss)													15,635	5,804	(11,873)
Comprehensive income													256,019	255,350	121,296
Previously Reported
Restatement of Consolidated Financial Statements
Net income		79,543	53,220	58,634				48,021	111,854	95,058	191,397	$ 212,433	256,121	268,998	139,713
Investigative Adjustments
Restatement of Consolidated Financial Statements
Net income		$ (2,321)	$ (4,599)	$ (2,457)		$ (18,812)		$ (673)	$ (7,056)	$ (17,632)	$ (9,377)		(14,137)	$ (19,452)	$ (6,544)
Other Adjustments
Restatement of Consolidated Financial Statements
Net income													$ (1,600)