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Goodwill and Other Intangible Assets (Tables)
 12 Months Ended
Sep. 30, 2025
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of goodwill and other intangible assets
Goodwill and other intangible assets, net consisted of the following:
(in millions)
as of September 30,20252024
Goodwill$6,206.0 $6,211.4 
Indefinite-lived intangible assets3,400.3 3,851.5 
Definite-lived intangible assets, net765.7 950.6 
Goodwill and Other Intangible Assets, Net$10,372.0 $11,013.5 
Schedule of changes in carrying value of goodwill
Changes in the carrying value of goodwill were as follows:
(in millions)
for the fiscal years ended September 30,20252024
Balance at beginning of year$6,211.4 $6,003.8 
Acquisitions— 189.8 
Purchase price allocation adjustment— 4.7 
Foreign exchange revaluation(5.4)13.1 
Balance at End of Year$6,206.0 $6,211.4 
Schedule of definite-lived intangible assets
Definite-lived intangible assets were as follows:
20252024
(in millions)Gross
Carrying
Value		Accumulated
Amortization		Net
Carrying
Value		Gross
Carrying
Value		Accumulated
Amortization		Net
Carrying
Value
as of September 30,
Management contracts$1,255.3 $(709.3)$546.0 $1,758.8 $(1,061.8)$697.0 
Trade names286.2 (66.5)219.7 367.8 (115.9)251.9 
Developed software— — — 14.4 (12.7)1.7 
Total$1,541.5 $(775.8)$765.7 $2,141.0 $(1,190.4)$950.6 
Schedule of Definite-Lived Intangible Assets, Remaining Amortization Expense
Definite-lived intangible assets had a weighted-average remaining useful life of 8.6 years at September 30, 2025, with estimated remaining amortization expense as follows:
(in millions)
for the fiscal years ending September 30,Amount
2026$189.4 
2027136.8 
202885.5 
202942.1 
203041.5 
Thereafter270.4 
Total$765.7