Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Dec. 31, 2023	Jul. 02, 2023	Dec. 31, 2023	Sep. 29, 2022	Dec. 23, 2021
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]
Beginning balance	$ 1,663,381	$ 1,603,881	$ 1,603,881
Ending balance	1,730,027	1,683,179	1,730,027
Cross currency fixed interest rate swaps | Designated as Hedging Instrument
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]
Derivative notional amount				$ 300,000	$ 300,000
Cross Currency Fixed Interest Rate Contract | Designated as Hedging Instrument
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]
Derivative notional amount	150		150	$ 150,000
Pension funded status adjustment
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]
Beginning balance		(4,423)	(4,423)
Before Reclassifications	0
Amounts Reclassified from AOCI	62
Ending balance	(4,361)		(4,361)
Foreign currency translation adjustment, gain	0
Net unrealized gain (loss) on derivative instruments
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]
Beginning balance		1,411	1,411
Before Reclassifications	3,266
Amounts Reclassified from AOCI	(5,707)
Ending balance	(1,030)		(1,030)
Foreign currency translation adjustment, gain	3,266
Foreign currency translation adjustment
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]
Beginning balance		(180,462)	(180,462)
Before Reclassifications	3,803	2,192
Amounts Reclassified from AOCI	0
Ending balance	(176,659)		(176,659)
Foreign currency translation adjustment, gain	3,803	2,192
Foreign currency translation adjustment | Cross currency fixed interest rate swaps | Net investment hedges | Designated as Hedging Instrument
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]
Before Reclassifications			5,687
Foreign currency translation adjustment, gain			5,687
Foreign currency translation adjustment, tax			1,734
Accumulated other comprehensive (loss) income
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]
Beginning balance		$ (183,474)	(183,474)
Before Reclassifications	7,069
Amounts Reclassified from AOCI	(5,645)
Ending balance	(182,050)		$ (182,050)
Foreign currency translation adjustment, gain	$ 7,069