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Financial Instruments and Risk Management - Additional Information (Details) € in Thousands, $ in Thousands			12 Months Ended
	Apr. 01, 2021 EUR (€) numberOfCrossCurrencySwaps	Jul. 10, 2019 EUR (€) numberOfCrossCurrencySwaps	Dec. 31, 2022 USD ($)	Dec. 31, 2022 EUR (€)	Jan. 01, 2022 EUR (€)	Dec. 31, 2022 EUR (€)	Jan. 01, 2022 USD ($)	Jan. 01, 2022 EUR (€)	Jan. 02, 2021 EUR (€)
Derivative [Line Items]
Net gain (loss) expected to be reclassified into earnings during the next twelve months			$ (1,457)
Long-term debt, gross			3,872,275				$ 3,368,634
3.5% Senior Notes
Derivative [Line Items]
Long-term debt, gross			$ 535,275				568,634
Interest rate on senior notes issued	3.50%		3.50%			3.50%
3.5% Senior Notes, Euro Value
Derivative [Line Items]
Long-term debt, gross | €						€ 500,000		€ 500,000
4.625% Senior Notes
Derivative [Line Items]
Long-term debt, gross			$ 900,000				900,000
Interest rate on senior notes issued		4.625%	4.63%			4.63%
Euro-denominated Long-term Debt | Net Investment Hedging
Derivative [Line Items]
Notional amount of nonderivative instruments designated in a net investment hedge | €	€ 200,000	€ 500,000		€ 200,000	€ 200,000
Euro-denominated long-term debt designated as a partial European net investment hedge			$ 214,110				227,454
Forward foreign exchange contract
Derivative [Line Items]
Maximum Length of Time Hedged in Cash Flow Hedge			14 months	14 months
Cross-currency swap contract
Derivative [Line Items]
Maximum Length of Time Hedged in Cash Flow Hedge			18 months	18 months
Cross-currency swap contract | Cash Flow Hedge
Derivative [Line Items]
Number of cross currency swaps | numberOfCrossCurrencySwaps	3
Notional amount of derivative instruments designated in a net investment hedge	€ 300,000		$ 352,920			€ 300,000	352,920
Cross-currency swap contract - fixed interest rate	4.7945%
Cross-currency swap contract | Net Investment Hedging
Derivative [Line Items]
Number of cross currency swaps | numberOfCrossCurrencySwaps		2
Notional amount of derivative instruments designated in a net investment hedge		€ 300,000	$ 335,940			€ 300,000	$ 335,940	€ 300,000	€ 300,000
Cross-currency swap contract - fixed interest rate		2.3215%

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