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Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Dec. 29, 2024
Sep. 29, 2024
Jun. 30, 2024
Dec. 31, 2023
Oct. 01, 2023
Jul. 02, 2023
Dec. 29, 2024
Sep. 29, 2022
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]                
Beginning balance $ 1,841,596 $ 1,811,189 $ 1,757,072 $ 1,663,381 $ 1,683,179 $ 1,603,881 $ 1,757,072  
Ending balance 1,848,258 1,841,596 1,811,189 1,730,027 1,663,381 1,683,179 1,848,258  
Cross Currency Fixed Interest Rate Contract | Designated as Hedging Instrument                
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]                
Derivative notional amount 600           600 $ 150,000
Pension funded status adjustment                
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]                
Beginning balance     (9,798)       (9,798)  
Before Reclassifications             0  
Amounts Reclassified from AOCI             282  
Ending balance (9,516)           (9,516)  
Foreign currency translation adjustment, gain             0  
Net unrealized gain (loss) on derivative instruments                
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]                
Beginning balance     755       755  
Before Reclassifications             (1,621)  
Amounts Reclassified from AOCI             1,057  
Ending balance 191           191  
Foreign currency translation adjustment, gain             (1,621)  
Foreign currency translation adjustment                
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]                
Beginning balance     (195,808)       (195,808)  
Before Reclassifications (72,097) 28,685 (13,294) 33,258 (31,647) 2,192 (56,706)  
Amounts Reclassified from AOCI             0  
Ending balance (252,514)           (252,514)  
Foreign currency translation adjustment, gain (72,097) $ 28,685 (13,294) $ 33,258 $ (31,647) $ 2,192 (56,706)  
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             1,793  
Foreign currency translation adjustment, gain             1,793  
Foreign currency translation adjustment, tax             547  
Accumulated other comprehensive (loss) income                
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]                
Beginning balance     $ (204,851)       (204,851)  
Before Reclassifications             (58,327)  
Amounts Reclassified from AOCI             1,339  
Ending balance $ (261,839)           (261,839)  
Foreign currency translation adjustment, gain             $ (58,327)