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Acquisitions and Dispositions - Schedule of Aggregate Cash Consideration and Total Assets Acquired and Liabilities Assumed (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Business Combination [Line Items]      
Cash $ 0.3 $ 0.0 $ 0.0
Inventories 0.0 0.2 0.4
Other current assets 0.4 0.0 0.0
Property, plant and equipment 6.4 5.0 6.4
Operating lease assets 13.5 23.2 9.7
Goodwill 55.4 44.3 29.0
Other noncurrent assets 0.0 0.0 0.0
Trade and other payables (0.6) 0.0 0.0
Other current liabilities (0.2) (0.1) (0.7)
Operating lease liabilities (13.5) (23.2) (9.1)
Other noncurrent liabilities (4.6) (3.0) (3.7)
Total net assets acquired 65.5 53.3 36.3
Non-cash consideration (0.2) (0.6) 0.0
Total cash consideration transferred $ 65.3 $ 52.7 $ 36.3
Weighted average useful life 10 years 7 years 9 years
Capital Lease Obligations      
Business Combination [Line Items]      
Business combination recognized identifiable liabilities assumed, finance lease obligation, current $ 0.2 $ 0.1 $ 0.2
Business combination, recognized identifiable asset acquired and liability assumed, lease obligation 3.2 3.0 3.7
Assets held under capital and finance leases      
Business Combination [Line Items]      
Business combination, recognized identifiable assets acquired assumed, finance lease asset 3.4 3.1 3.8
Reacquired franchise rights      
Business Combination [Line Items]      
Intangible assets $ 7.6 $ 6.4 $ 4.0
Weighted average useful life 10 years 7 years 9 years
Gain (loss) on contract termination $ 0.0    
Other intangible assets      
Business Combination [Line Items]      
Intangible assets $ 0.8 $ 0.5 $ 0.3