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Goodwill and Intangibles - Schedule of Acquired Intangibles in Accompanying Consolidated Balance Sheets (Details)
$ in Thousands
3 Months Ended
Dec. 31, 2021
USD ($)
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance $ 1,565,758
Amortization (46,907)
Acquired 103,541
Foreign currency translation (3,479)
Ending balance 1,618,913
Customer Relationships, Contracts and Backlog  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 1,309,061
Amortization (42,965)
Acquired 88,002
Foreign currency translation (2,734)
Ending balance 1,351,364
Developed Technology  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 40,020
Amortization (1,119)
Acquired 15,539
Foreign currency translation (20)
Ending balance 54,420
Trade Names  
Finite-lived Intangible Assets [Roll Forward]  
Beginning balance 216,677
Amortization (2,823)
Acquired 0
Foreign currency translation (725)
Ending balance $ 213,129