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Revenue Recognition - Additional Information (Detail) - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Sep. 30, 2022
Revenue Recognition [Line Items]      
Contract costs, amortization period 5 years    
Contract liabilities $ 117.7   $ 152.1
Contract with customer liability, revenue recognized $ 117.4 $ 108.4  
Maximum      
Revenue Recognition [Line Items]      
Contract liabilities recognition service contract period 1 year    
Delivery and Branch Expenses      
Revenue Recognition [Line Items]      
Amortization of deferred contract costs $ 2.0 $ 2.0  
Prepaid Expense and Other Current Assets      
Revenue Recognition [Line Items]      
Deferred contract costs,current 3.5   3.4
Deferred Charges and Other Assets, Net      
Revenue Recognition [Line Items]      
Deferred contract costs,non current $ 6.1   $ 5.6