Fair Value Measurements (Narrative) (Details) € in Millions	3 Months Ended	9 Months Ended
May 31, 2025 USD ($)	May 31, 2024 USD ($)	May 31, 2025 USD ($)	May 31, 2024 USD ($)	Nov. 30, 2028 EUR (€)	May 31, 2026 USD ($)
Notional amount	$ 147,400,000		$ 147,400,000
Marketable securities maturity period			1 year
Foreign translation gains (losses)	(11,900,000)	$ (400,000)	$ (7,300,000)	$ (200,000)
Fair Value, Measurements, Nonrecurring [Member]
Assets fair value adjustments	0	0	0	0
Liabilities fair value adjustments	$ 0	$ 0	$ 0	$ 0
Forecast [Member]
Notional amount					€ 163.2	$ 175,000,000

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+ References

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+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 815
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1B
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480434/815-10-50-1B

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 815
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1A
-Subparagraph (d)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480434/815-10-50-1A

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Amount, after tax, of realized and unrealized gain (loss) from foreign currency transaction.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 946
-SubTopic 205
-Name Accounting Standards Codification
-Section 45
-Paragraph 3
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478009/946-205-45-3

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Subparagraph (SX 210.6-09(1))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479134/946-220-S99-3

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 946
-SubTopic 830
-Name Accounting Standards Codification
-Section 45
-Paragraph 38
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147477346/946-830-45-38

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Amount of addition (reduction) to the amount at which a liability could be incurred (settled) in a current transaction between willing parties.

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