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Goodwill and Intangibles - Schedule of Acquired Intangibles in Accompanying Consolidated Balance Sheets (Details)
$ in Thousands
12 Months Ended
Oct. 01, 2021
USD ($)
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance $ 658,340
Acquired 1,078,192
Amortization (149,776)
Foreign currency translation (20,998)
Ending balance $ 1,565,758
Weighted Average Amortization Period (years) 10 years
Customer Relationships, Contracts and Backlog  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance $ 614,045
Acquired 849,117
Amortization (138,795)
Foreign currency translation (15,306)
Ending balance $ 1,309,061
Weighted Average Amortization Period (years) 8 years
Developed Technology  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance $ 43,572
Acquired 0
Amortization (4,052)
Foreign currency translation 500
Ending balance $ 40,020
Weighted Average Amortization Period (years) 10 years
Trade Names  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance $ 723
Acquired 229,075
Amortization (6,929)
Foreign currency translation (6,192)
Ending balance $ 216,677
Weighted Average Amortization Period (years) 19 years