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Goodwill and Intangibles - Schedule of Acquired Intangibles in Accompanying Consolidated Balance Sheets (Details)
$ in Thousands
9 Months Ended
Jul. 01, 2022
USD ($)
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance $ 1,565,758
Amortization (146,889)
Acquired 159,388
Foreign currency translation (105,616)
Ending balance 1,472,641
Customer Relationships, Contracts and Backlog  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 1,309,061
Amortization (131,324)
Acquired 97,388
Foreign currency translation (82,325)
Ending balance 1,192,800
Developed Technology  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 40,020
Amortization (7,306)
Acquired 62,000
Foreign currency translation (628)
Ending balance 94,086
Trade Names  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 216,677
Amortization (8,259)
Acquired 0
Foreign currency translation (22,663)
Ending balance $ 185,755