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Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details) - USD ($)
$ in Thousands
 3 Months Ended
Jul. 02, 2023
Sep. 29, 2022
Dec. 23, 2021
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]      
Beginning balance $ 1,603,881    
Before Reclassifications 2,192    
Ending balance 1,683,179    
Foreign currency translation adjustment, gain 2,192    
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 $ 150,000  
Pension funded status adjustment      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]      
Beginning balance (4,423)    
Before Reclassifications 0    
Ending balance (4,403)    
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    
Before Reclassifications 4,771    
Amounts Reclassified from AOCI (2,985)    
Ending balance 3,197    
Foreign currency translation adjustment, gain 4,771    
Foreign currency translation adjustment      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]      
Beginning balance (180,462)    
Before Reclassifications 2,192    
Amounts Reclassified from AOCI 0    
Ending balance (178,270)    
Foreign currency translation adjustment, gain 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 2,224    
Foreign currency translation adjustment, gain 2,224    
Foreign currency translation adjustment, tax 678    
Accumulated other comprehensive (loss) income      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]      
Beginning balance (183,474)    
Before Reclassifications 6,963    
Amounts Reclassified from AOCI (2,965)    
Ending balance (179,476)    
Foreign currency translation adjustment, gain $ 6,963