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Goodwill and Intangibles - Schedule of Acquired Intangibles in Accompanying Consolidated Balance Sheets (Details)
$ in Thousands
3 Months Ended
Jan. 01, 2021
USD ($)
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance $ 658,340
Amortization (23,155)
Acquired 71,000
Foreign currency translation 9,456
Ending balance 715,641
Customer Relationships, Contracts and Backlog  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 614,045
Amortization (22,063)
Acquired 71,000
Foreign currency translation 9,112
Ending balance 672,094
Developed Technology  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 43,572
Amortization (985)
Acquired 0
Foreign currency translation 339
Ending balance 42,926
Trade Names  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 723
Amortization (107)
Acquired 0
Foreign currency translation 5
Ending balance $ 621