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Long Term Debt - Convertible Sr Notes (Details)	12 Months Ended
	Sep. 30, 2024 USD ($) d $ / shares	Sep. 30, 2023 USD ($)	Sep. 30, 2022 USD ($)
Debt Instrument
Payments of Debt Issuance Costs	$ 35,000,000.0	$ 3,100,000	$ 26,400,000
Unamortized Debt Issuance Expense	55,900,000	42,000,000.0
Long-term debt	$ 6,811,600,000	6,039,000,000
Maximum
Debt Instrument
Debt Instrument, Convertible, Threshold Percentage of Stock Price Trigger	130.00%
Minimum
Debt Instrument
Debt Instrument, Convertible, Threshold Percentage of Stock Price Trigger	98.00%
2.50% convertible senior notes maturing in August 2027 | Senior Notes
Debt Instrument
Debt Instrument, Interest Rate, Stated Percentage	2.50%
Senior Notes	$ 575,000,000.0
Debt Instrument, Increase, Additional Borrowings	559,100,000
Payments of Debt Issuance Costs	$ 15,900,000
Debt Instrument, Convertible, Conversion Ratio	9.4248
Debt Instrument, Issued, Principal	$ 1,000
Debt Instrument, Convertible, Conversion Price | $ / shares	$ 106.10
Debt Instrument, Convertible, Threshold Consecutive Trading Days | d	5
Debt Instrument, Convertible, Threshold Trading Days | d	10
Unamortized Debt Issuance Expense	$ 9,600,000	12,600,000
Long-term debt	$ 565,400,000	$ 562,400,000

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