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Significant Accounting Policies - Additional Information (Detail)
 12 Months Ended
Sep. 30, 2021
USD ($)
Segment
Sep. 30, 2020
USD ($)
Sep. 30, 2019
USD ($)
Accounting Policies [Abstract]      
Inventories valuation allowance $ 400,000 $ 2,400,000  
Goodwill and other intangible assets increased from acquisitions 116,800,000 20,200,000  
Goodwill and other intangible assets 201,122,000 84,293,000  
Business acquisition, goodwill for tax purposes 110,800,000 16,800,000  
Impairment charges 0    
Contract assets recorded in prepaid expenses and other current assets $ 5,700,000 2,600,000  
Revenue remaining obligation description As a practical expedient, because repair and maintenance service contracts have an original duration of one year or less, we do not consider the time value of money, and we do not disclose estimated revenue expected to be recognized in the future for performance obligations that are unsatisfied (or partially unsatisfied) at the end of the reporting period or when we expect to recognize such revenue.    
Contract liabilities $ 100,660,000 31,821,000 $ 24,300,000
Contract liabilities recognized in revenue 31,800,000 24,300,000  
Accumulated other comprehensive income 648,000 829,000  
Reclassified out of accumulated other comprehensive income 0    
Total advertising and promotional expenses $ 14,800,000 $ 14,000,000.0 $ 18,800,000
Number of reporting segment | Segment 2