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Fair Value of Financial Assets and Financial Liabilities (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Mar. 31, 2023
Mar. 31, 2023
Sep. 30, 2022
Fair Value Disclosure | Union Supply Group, Inc.      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Change in amount of contingent consideration liability $ 29.7 $ 29.7  
Fair Value Disclosure | Next Level Hospitality      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Change in amount of contingent consideration liability 18.4 48.4  
Fair Value Disclosure | Fair Value, Measurements, Recurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Fair value of debt 7,968.1 7,968.1 $ 7,153.4
Fair Value Disclosure | Fair Value, Measurements, Recurring | Union Supply Group, Inc.      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Contingent consideration 20.3 20.3 45.8
Fair Value Disclosure | Fair Value, Measurements, Recurring | Next Level Hospitality      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Contingent consideration 0.0 0.0 48.4
Carrying Value Disclosure      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Carrying value of debt $ 8,017.1 $ 8,017.1 $ 7,410.9