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Derivative Instruments - Effect of Derivative Instruments on Statements of Income (Detail) - Cash Flow Hedging - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
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May 31, 2023 | May 31, 2022 | May 31, 2023 | May 31, 2022
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |
Gain (loss) recognized in OCI on derivatives | $ (3.9) | $ 17.5 | $ 18.2 | $ 14.9
Gain (loss) reclassified from accumulated OCI into income | 3.9 | (2.2) | 7.0 | (5.2)
Gain (loss) recognized on derivative (amount excluded from effectiveness testing) | 0.7 | 0.5 | 1.9 | 1.4
Foreign Exchange Forward |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |
Gain (loss) recognized in income on derivatives | $ 0.1 | $ 0.2 | (0.2) | $ (0.2)
Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] | Interest And Foreign Exchange Net | Interest And Foreign Exchange Net |  | Interest And Foreign Exchange Net
Foreign Exchange Forward | Sales |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |
Gain (loss) recognized in OCI on derivatives | $ 2.7 | $ 1.5 | 4.7 | $ (3.5)
Gain (loss) reclassified from accumulated OCI into income | (0.0) | (0.6) | (0.9) | (1.0)
Gain (loss) recognized on derivative (amount excluded from effectiveness testing) | $ 0.6 | $ 0.3 | $ 1.4 | $ 0.8
Derivative Instrument, Gain (Loss) Reclassified from AOCI into Income, Effective Portion, Statement of Income or Comprehensive Income [Extensible Enumeration] | Revenue from Contract with Customer, Excluding Assessed Tax | Revenue from Contract with Customer, Excluding Assessed Tax | Revenue from Contract with Customer, Excluding Assessed Tax | Revenue from Contract with Customer, Excluding Assessed Tax
Foreign Exchange Forward | Cost Of Revenue |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |
Gain (loss) recognized in OCI on derivatives | $ 0.6 | $ 0.8 | $ 1.7 | $ 0.9
Gain (loss) reclassified from accumulated OCI into income | 0.5 | 0.1 | 1.1 | 0.1
Gain (loss) recognized on derivative (amount excluded from effectiveness testing) | $ 0.1 | $ 0.2 | $ 0.5 | $ 0.6
Derivative Instrument, Gain (Loss) Reclassified from AOCI into Income, Effective Portion, Statement of Income or Comprehensive Income [Extensible Enumeration] | Cost of Revenue | Cost of Revenue | Cost of Revenue | Cost of Revenue
Interest rate swap contracts |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |
Gain (loss) recognized in OCI on derivatives | $ (7.2) | $ 15.2 | $ 11.8 | $ 17.5
Gain (loss) reclassified from accumulated OCI into income | $ 3.4 | $ (1.7) | $ 6.8 | $ (4.3)
Derivative Instrument, Gain (Loss) Reclassified from AOCI into Income, Effective Portion, Statement of Income or Comprehensive Income [Extensible Enumeration] | Interest And Foreign Exchange Net | Interest And Foreign Exchange Net | Interest And Foreign Exchange Net | Interest And Foreign Exchange Net

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- Definition Amount of increase (decrease) in the fair value of derivatives recognized in the income statement. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4A -Subparagraph (b)(1) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5618551-113959 + Details
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- Definition Indicates line item in statement of income or comprehensive income that includes gain (loss) from derivative. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4A -Subparagraph (b)(1) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5618551-113959 + Details
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- Definition Indicates line item in statement of income or comprehensive income that includes gain (loss) from effective portion of derivative instrument reclassified from accumulated other comprehensive income (AOCI) into income. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4D -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5624177-113959 + Details
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- Definition The effective portion of net gain (loss) reclassified from accumulated other comprehensive income into income on derivative instruments designated and qualifying as hedging instruments. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4D -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5624177-113959 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4C -Subparagraph (c) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5624171-113959 + Details
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- Definition The portion of gains and losses (net) on derivative instruments designated and qualifying as hedging instruments representing (a) the amount of the hedge ineffectiveness and (b) the amount, if any, excluded from the assessment of hedge effectiveness. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4C -Subparagraph (d) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5624171-113959 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 25 -Section 50 -Paragraph 1 -Subparagraph (a)(1),(2) -URI https://asc.fasb.org/extlink&oid=121577467&loc=d3e76258-113986 + Details
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- Definition Amount, before tax and reclassification, of gain (loss) from derivative instrument designated and qualifying cash flow hedge included in assessment of hedge effectiveness. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 20 -Section 45 -Paragraph 3 -URI https://asc.fasb.org/extlink&oid=121577181&loc=SL110061190-113977 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4A -Subparagraph (b)(2) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5618551-113959 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4C -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5624171-113959 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 11 -URI https://asc.fasb.org/extlink&oid=126968391&loc=d3e637-108580 Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 10A -Subparagraph (d) -URI https://asc.fasb.org/extlink&oid=126968391&loc=SL7669646-108580 + Details
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