Derivative Instruments - Additional Information (Detail) $ in Millions	6 Months Ended
Feb. 29, 2024 USD ($)
Foreign Exchange Contracts
Derivative [Line Items]
Aggregate derivative notional amount	$ 110.9
Amount reclassified to revenue or cost of revenue in the next year	2.1
Interest rate swap contracts
Derivative [Line Items]
Unrealized pre-tax gain (loss) that would be reclassified to reduce interest expense in the next year	13.7
Interest rate swap contracts \| Derivatives maturing from June 2024 through January 2032
Derivative [Line Items]
Aggregate derivative notional amount	$ 608.6
Interest rate swap contracts \| Derivatives maturing from June 2024 through January 2032 \| Minimum
Derivative [Line Items]
Maturity date	2024-06
Interest rate swap contracts \| Derivatives maturing from June 2024 through January 2032 \| Maximum
Derivative [Line Items]
Maturity date	2032-01

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- Definition

The estimated value of gains (losses), net anticipated to be transferred in the future from accumulated other comprehensive income into earnings.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 815
-SubTopic 30
-Name Accounting Standards Codification
-Section 50
-Paragraph 6
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480870/815-30-50-6

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 815
-SubTopic 40
-Name Accounting Standards Codification
-Section 50
-Paragraph 5
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- Definition

Nominal or face amount used to calculate payment on derivative.

+ 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

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- Definition

The estimated net amount of unrealized gains or losses on foreign currency cash flow hedges at the reporting date expected to be reclassified to earnings within the next 12 months.

+ References

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