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Pension Plans (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	May 31, 2026	May 31, 2025	May 31, 2026	May 31, 2025
Retirement Benefits [Abstract]
Service cost	$ 1.1	$ 1.4	$ 3.2	$ 4.1
Administrative cost	0.0	0.0	0.1	0.0
Interest cost	1.3	2.5	3.8	7.3
Expected return on plan assets	(0.7)	(2.1)	(2.2)	(6.3)
Recognized actuarial loss	0.4	0.6	1.2	1.9
Net periodic pension cost	$ 2.1	$ 2.4	$ 6.1	$ 7.0

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Amount of gain (loss) from change in actuarial assumptions which (increases) decreases benefit obligation of defined benefit plan. Assumptions include, but are not limited to, interest, mortality, employee turnover, salary, and temporary deviation from substantive plan.

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Amount of expected return (loss) recognized in net periodic benefit (cost) credit, calculated based on expected long-term rate of return and market-related value of plan assets of defined benefit plan.

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Amount of cost for actuarial present value of benefits attributed to service rendered by employee for defined benefit plan.

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Amount of administrative expense incurred by defined contribution plan.

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