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Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details) - USD ($)
$ in Thousands
 3 Months Ended
Jun. 29, 2025
Sep. 29, 2022
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance $ 1,919,488  
Ending balance 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 (10,374)  
Before Reclassifications 0  
Amounts Reclassified from AOCI 123  
Ending balance (10,251)  
Foreign currency translation adjustment, gain 0  
Net unrealized gain (loss) on derivative instruments    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance (269)  
Before Reclassifications (562)  
Amounts Reclassified from AOCI 1,024  
Ending balance 193  
Foreign currency translation adjustment, gain (562)  
Foreign currency translation adjustment    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance (236,836)  
Before Reclassifications 29,789  
Amounts Reclassified from AOCI 0  
Ending balance (207,047)  
Foreign currency translation adjustment, gain 29,789  
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 42,009  
Foreign currency translation adjustment, gain 42,009  
Foreign currency translation adjustment, tax 12,812  
Accumulated other comprehensive (loss) income    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance (247,479)  
Before Reclassifications 29,227  
Amounts Reclassified from AOCI 1,147  
Ending balance (217,105)  
Foreign currency translation adjustment, gain $ 29,227