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Discontinued Operations - Acquisitions (Details) - USD ($)
$ in Thousands
Apr. 29, 2021
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]        
Goodwill   $ 513,623 $ 469,356 $ 453,177
Discontinued Operations, Held-for-sale | Semiconductor Automation Business | Precise Automation, Inc.        
Business Acquisition, Date of Acquisition [Abstract]        
Business acquisition, effective date of acquisition Apr. 29, 2021      
Business Combination, Consideration Transferred [Abstract]        
Total purchase price $ 69,800      
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]        
Goodwill 33,100      
Deferred tax liabilities 6,200      
Business Combination, Goodwill [Abstract]        
Goodwill deductible for tax purposes 0      
Discontinued Operations, Held-for-sale | Semiconductor Automation Business | Precise Automation, Inc. | Completed Technology        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]        
Intangible assets $ 38,700      
Weighted average useful life of intangible assets 11 years      
Discontinued Operations, Held-for-sale | Semiconductor Automation Business | Precise Automation, Inc. | Customer Relationships        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]        
Intangible assets $ 2,500      
Weighted average useful life of intangible assets 11 years