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Accumulated Other Comprehensive Income (Details) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Apr. 01, 2022
Apr. 02, 2021
Apr. 01, 2022
Apr. 02, 2021
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]        
Beginning balance $ 6,099,945 $ 6,143,367 $ 5,974,837 $ 5,855,667
Other comprehensive income (loss) (718) 8,900 6,068 64,418
Ending balance 6,121,978 6,043,746 6,121,978 6,043,746
Total        
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]        
Beginning balance (787,656) (877,539) (794,442) (933,057)
Other comprehensive income (loss)     2,493  
Reclassifications from accumulated other comprehensive income (loss)     3,575  
Ending balance (788,374) $ (868,639) (788,374) $ (868,639)
Change in Net Pension Obligation        
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]        
Beginning balance     (394,561)  
Other comprehensive income (loss)     17,879  
Reclassifications from accumulated other comprehensive income (loss)     0  
Ending balance (376,682)   (376,682)  
Foreign Currency Translation Adjustment        
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]        
Beginning balance     (407,240)  
Other comprehensive income (loss)     (51,922)  
Reclassifications from accumulated other comprehensive income (loss)     0  
Ending balance (459,162)   (459,162)  
Gain/(Loss) on Cash Flow Hedges        
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]        
Beginning balance     7,359  
Other comprehensive income (loss)     36,536  
Reclassifications from accumulated other comprehensive income (loss)     3,575  
Ending balance $ 47,470   $ 47,470