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Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details) - USD ($)
$ in Thousands
 3 Months Ended
Jul. 05, 2026
Jun. 29, 2025
Sep. 29, 2022
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]      
Beginning balance $ 1,908,872 $ 1,919,488  
Ending balance 1,973,547 1,866,149  
Cross Currency Fixed Interest Rate Contract | Designated as Hedging Instrument      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]      
Derivative notional amount 600   $ 150,000
Pension funded status adjustment      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]      
Beginning balance (2,636)    
Before Reclassifications 0    
Amounts Reclassified from AOCI (2)    
Ending balance (2,638)    
Net unrealized gain (loss) on derivative instruments      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]      
Beginning balance (4,562)    
Before Reclassifications (142)    
Amounts Reclassified from AOCI 1,699 (1,024)  
Ending balance (3,005)    
Foreign currency translation adjustment      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]      
Beginning balance (205,066)    
Before Reclassifications (6,996)    
Amounts Reclassified from AOCI 0    
Ending balance (212,062)    
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 1,238    
Foreign currency translation adjustment, tax 372    
Accumulated Other Comprehensive Income (Loss)      
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]      
Beginning balance (212,264) (247,479)  
Before Reclassifications (7,138)    
Amounts Reclassified from AOCI 1,697    
Ending balance $ (217,705) $ (217,105)