Income Taxes - Schedule of Components of Net Deferred Income Taxes (Details) - USD ($) $ in Millions	Aug. 31, 2026	Aug. 31, 2025
Deferred income tax liabilities:
Depreciation	$ (24.8)	$ (24.7)
Goodwill and intangibles	(150.8)	(155.1)
Operating lease right of use assets	(19.7)	(24.0)
Other liabilities	(3.5)	(3.2)
Total deferred income tax liabilities	(198.8)	(207.0)
Deferred income tax assets:
Self-insurance	2.2	1.8
Pension	7.1	7.1
Deferred compensation	25.4	25.1
Net operating losses	7.7	6.8
Other accruals not yet deductible	37.4	37.0
Operating lease liabilities	22.4	26.4
Capitalized research and development	57.3	98.1
Other assets	26.0	22.7
Total deferred income tax assets	185.5	225.0
Valuation allowance	(21.2)	(19.5)
Net deferred income tax liabilities	$ (34.5)	$ (1.5)

Deferred Tax Liabilities, Operating Lease Right-of-use Asset

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Deferred Tax Assets, Capitalized Research And Development

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Deferred Tax Assets, Operating Lease Liabilities

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Amount of deferred tax liability attributable to taxable temporary differences.

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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences and carryforwards.

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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible operating loss carryforwards.

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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from employee compensation.

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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from pension benefits.

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Amount, before allocation of valuation allowance, of deferred tax asset attributable to deductible temporary differences from reserves and accruals, classified as other.

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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from estimated losses under self insurance.

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Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized.

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Amount, after deferred tax asset, of deferred tax liability attributable to taxable differences without jurisdictional netting.

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Amount of deferred tax liability attributable to taxable temporary differences from intangible assets including goodwill.

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Amount of deferred tax liability attributable to taxable temporary differences classified as other.

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Amount of deferred tax liability attributable to taxable temporary differences from property, plant, and equipment.

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