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Discontinued Operations, Goodwill, and Intangible Assets - Goodwill by segments (Details)
$ in Thousands
12 Months Ended
Sep. 30, 2024
USD ($)
Changes in the carrying value of goodwill by reporting segment  
Goodwill at the beginning of the period $ 3,418,930
Foreign exchange impact 50,200
Acquired 11,100
Goodwill at the end of the period 3,480,155
Americas  
Changes in the carrying value of goodwill by reporting segment  
Goodwill at the beginning of the period 2,614,000
Foreign exchange impact 600
Acquired 11,100
Goodwill at the end of the period 2,625,700
International  
Changes in the carrying value of goodwill by reporting segment  
Goodwill at the beginning of the period 804,900
Foreign exchange impact 49,600
Goodwill at the end of the period $ 854,500