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Income Taxes (Loss) Earnings before Income Taxes and Equity Method Loss (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Earnings before Income Taxes and Equity Method Loss [Abstract]
Domestic	$ 436.4	$ 397.2	$ 799.9
Foreign	35.7	15.7	95.4
Earnings before Income Taxes and Equity Method Loss	472.1	412.9	895.3
Income tax expense	$ 105.1	$ 99.7	$ 85.7
Effective Income Tax Rate Reconciliation, Percent	22.30%	24.10%	9.60%

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Earnings before Income Taxes and Equity Method Loss [Abstract]

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Percentage of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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The portion of earnings or loss from continuing operations before income taxes that is attributable to domestic operations.

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The portion of earnings or loss from continuing operations before income taxes that is attributable to foreign operations, which is defined as Income or Loss generated from operations located outside the entity's country of domicile.

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Amount of income (loss) from continuing operations before deduction of income tax expense (benefit) and income (loss) attributable to noncontrolling interest, and addition of income (loss) from equity method investments.

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