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Goodwill and Intangible Assets - Goodwill - Additional Information (Details) - USD ($)
9 Months Ended 12 Months Ended
Jun. 30, 2022
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Goodwill [Line Items]        
Estimate fair value $ 995,000,000 $ 713,000,000.0    
Reporting unit, carrying value 950,000,000      
Reporting unit, amount of fair value in excess of carrying amount $ 45,000,000      
Reporting Unit, Percentage of fair value in excess of carrying amount 5.00%      
Goodwill impairment charge $ 0 213,700,000 $ 0 $ 0
Customer Relationships | Operating Expenses        
Goodwill [Line Items]        
Amortization expense   11,500,000 12,700,000 12,600,000
Technology and Patents | Cost of Revenues        
Goodwill [Line Items]        
Amortization expense   $ 3,000,000.0 $ 7,500,000 $ 8,300,000