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Derivative Financial Instruments and Fair Value Measurements - Fair Value Measurements (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023
Fair Value, Measurements, Recurring
Derivative financial instruments
Total net assets at fair value	$ 62.5	$ 54.7
Fair Value, Measurements, Recurring | Other non-current assets
Derivative financial instruments
Equity investment	19.4
Interest rate contract | Fair Value, Measurements, Recurring | Other current assets
Derivative financial instruments
Derivative asset	9.2	17.2
Interest rate contract | Fair Value, Measurements, Recurring | Other non-current assets
Derivative financial instruments
Derivative asset	16.5	37.5
Interest rate contract | Fair Value, Measurements, Recurring | Other current liabilities
Derivative financial instruments
Derivative liability	(0.9)
Interest rate contract | Fair Value, Measurements, Recurring | Other long-term liabilities
Derivative financial instruments
Derivative liability	(3.6)
Credit facility investment
Derivative financial instruments
Gain representing increase in fair value	7.2
Credit facility investment | Fair Value, Measurements, Recurring | Other non-current assets
Derivative financial instruments
Alternative Investment	21.9
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fair Value, Measurements, Recurring
Derivative financial instruments
Total net assets at fair value	19.4
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fair Value, Measurements, Recurring | Other non-current assets
Derivative financial instruments
Equity investment	19.4
Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring
Derivative financial instruments
Total net assets at fair value	21.2	54.7
Significant Other Observable Inputs (Level 2) | Interest rate contract | Fair Value, Measurements, Recurring | Other current assets
Derivative financial instruments
Derivative asset	9.2	17.2
Significant Other Observable Inputs (Level 2) | Interest rate contract | Fair Value, Measurements, Recurring | Other non-current assets
Derivative financial instruments
Derivative asset	16.5	$ 37.5
Significant Other Observable Inputs (Level 2) | Interest rate contract | Fair Value, Measurements, Recurring | Other current liabilities
Derivative financial instruments
Derivative liability	(0.9)
Significant Other Observable Inputs (Level 2) | Interest rate contract | Fair Value, Measurements, Recurring | Other long-term liabilities
Derivative financial instruments
Derivative liability	(3.6)
Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring
Derivative financial instruments
Total net assets at fair value	21.9
Significant Unobservable Inputs (Level 3) | Credit facility investment | Fair Value, Measurements, Recurring | Other non-current assets
Derivative financial instruments
Alternative Investment	$ 21.9

X

- Definition

Fair value of investment other than investment in equity security, investment in debt security and equity method investment. Includes, but is not limited to, investment in certain entities that calculate net asset value per share. Example includes, but is not limited to, investment in hedge fund, venture capital fund, private equity fund, and real estate partnership or fund.

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X

- Definition

Fair value, after the effects of master netting arrangements, of a financial asset or other contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset. Includes assets not subject to a master netting arrangement and not elected to be offset.

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