Changes in Gross Liability for Unrecognized Tax Benefits, Excluding Interest and Penalties (Details) - USD ($) $ in Thousands	12 Months Ended
Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Unrecognized Tax Benefits [Roll Forward]
Beginning balance	$ 14,754	$ 15,380	$ 15,658
Unrecognized Tax Benefits, Increase Resulting from Current Period Tax Positions	1,771	279	433
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions	201	0	1,084
Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions	0	(56)	(57)
Decrease due to lapse of statute of limitations	(3,054)	(951)	(1,271)
Decrease due to settlements	0	0	(31)
Unrecognized Tax Benefits, Increase (Decrease) Resulting from Foreign Currency Translation	41	102	(436)
Ending balance	$ 13,713	$ 14,754	$ 15,380

Unrecognized Tax Benefits, Increase (Decrease) Resulting from Foreign Currency Translation

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- Definition

A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

+ References

No definition available.

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- Definition

Amount of unrecognized tax benefits.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 55
-Paragraph 217
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482663/740-10-55-217

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 15A
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482685/740-10-50-15A

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 10B
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482525/740-10-45-10B

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- Definition

Amount of decrease in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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- Definition

Amount of decrease in unrecognized tax benefits resulting from settlements with taxing authorities.

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- Definition

Amount of increase in unrecognized tax benefits resulting from tax positions that have been or will be taken in current period tax return.

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- Definition

Amount of increase in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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- Definition

Amount of decrease in unrecognized tax benefits resulting from lapses of applicable statutes of limitations.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 15A
-Subparagraph (a)(4)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482685/740-10-50-15A

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