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Goodwill and Intangibles - Schedule of Acquired Intangibles in Accompanying Consolidated Balance Sheets (Details)
$ in Thousands
9 Months Ended
Jun. 28, 2024
USD ($)
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance $ 1,271,943
Amortization (156,292)
Acquired 14,000
Foreign currency translation and other 26,926
Ending balance 1,156,577
Customer Relationships, Contracts and Backlog  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 1,022,401
Amortization (134,635)
Acquired 0
Foreign currency translation and other 20,505
Ending balance 908,271
Developed Technology  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 74,791
Amortization (11,920)
Acquired 0
Foreign currency translation and other 200
Ending balance 63,071
Trade Names  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 174,751
Amortization (9,737)
Acquired 14,000
Foreign currency translation and other 6,221
Ending balance $ 185,235