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Goodwill and Intangibles - Schedule of Acquired Intangibles in Accompanying Consolidated Balance Sheets (Details)
$ in Thousands
9 Months Ended
Jul. 02, 2021
USD ($)
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance $ 658,340
Amortization (103,308)
Acquired 1,078,192
Foreign currency translation 1,997
Ending balance 1,635,221
Customer Relationships, Contracts and Backlog  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 614,045
Amortization (96,288)
Acquired 849,117
Foreign currency translation 3,323
Ending balance 1,370,197
Developed Technology  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 43,572
Amortization (2,967)
Acquired 0
Foreign currency translation 311
Ending balance 40,916
Trade Names  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 723
Amortization (4,053)
Acquired 229,075
Foreign currency translation (1,637)
Ending balance $ 224,108