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Accumulated Other Comprehensive Income (Loss) (Changes in AOCI by Component) (Details) - USD ($)
$ in Thousands
 3 Months Ended
Dec. 31, 2022
Jan. 01, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]    
Beginning of period $ 1,436,813  
Other comprehensive income (loss), net of tax 53,853 $ (2,335)
End of period 1,525,181 1,424,423
Accumulated foreign currency translation    
AOCI Attributable to Parent, Net of Tax [Roll Forward]    
Beginning of period (182,024)  
OCI before reclassifications 50,399  
Amounts reclassified from AOCIL 336  
Other comprehensive income (loss), net of tax 50,735  
End of period (131,289)  
Accumulated retirement liability    
AOCI Attributable to Parent, Net of Tax [Roll Forward]    
Beginning of period (125,231)  
OCI before reclassifications (1,013)  
Amounts reclassified from AOCIL 2,212  
Other comprehensive income (loss), net of tax 1,199  
End of period (124,032)  
Accumulated gain (loss) on derivatives    
AOCI Attributable to Parent, Net of Tax [Roll Forward]    
Beginning of period (3,787)  
OCI before reclassifications 928  
Amounts reclassified from AOCIL 991  
Other comprehensive income (loss), net of tax 1,919  
End of period (1,868)  
Total    
AOCI Attributable to Parent, Net of Tax [Roll Forward]    
Beginning of period (311,042) (247,560)
OCI before reclassifications 50,314  
Amounts reclassified from AOCIL 3,539  
Other comprehensive income (loss), net of tax 53,853 (2,335)
End of period $ (257,189) $ (249,895)