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Debt - Convertible Notes (Details)							12 Months Ended
	Aug. 31, 2024 USD ($) $ / shares	Jan. 23, 2024 USD ($) day $ / shares	Jan. 19, 2024 $ / shares	Jan. 18, 2024 USD ($)	Nov. 01, 2019 USD ($) day $ / shares	Oct. 30, 2019 USD ($) $ / shares	Aug. 31, 2024 USD ($) $ / shares	Aug. 26, 2023 USD ($)	Aug. 27, 2022 USD ($)	Jul. 08, 2020 USD ($)
Debt Instrument [Line Items]
Offering-related costs	$ 13,100,000						$ 13,100,000	$ 7,600,000
Interest expense, net							21,100,000	20,500,000	$ 41,300,000
Payments for convertible note bond hedge							68,700,000	0	0
Loss on note repurchase							32,700,000	0	0
Convertible Note Hedge Transactions | Warrant
Debt Instrument [Line Items]
Strike price (in dollars per share) | $ / shares			$ 135.28
Call Spread Transactions
Debt Instrument [Line Items]
Percentage increase of strike price			100.00%			100.00%
Call Spread Transactions | Warrant
Debt Instrument [Line Items]
Strike price (in dollars per share) | $ / shares						$ 96.20
2030 Convertible Notes
Debt Instrument [Line Items]
Debt amount		$ 350,000,000.0
Interest rate, stated percentage		3.25%
Proceeds from issuance of notes		$ 339,800,000
Conversion rate (in shares)		0.0113724
Conversion price (in dollars per share) | $ / shares		$ 87.93
2030 Convertible Notes | Convertible Note Hedge Transactions
Debt Instrument [Line Items]
Strike price (in dollars per share) | $ / shares			$ 87.93
2030 Convertible Notes | Call Spread Transactions
Debt Instrument [Line Items]
Offering-related costs	$ 10,200,000						$ 10,200,000
Debt instrument, interest rate, effective percentage	3.80%						3.80%
Interest expense, net							$ 7,800,000
Net cost incurred transaction, amount							$ 20,600,000
2030 Convertible Notes | Debt Conversion Terms One
Debt Instrument [Line Items]
Percentage of the conversion price		130.00%
Number of trading days | day		20
Number of consecutive trading days | day		30
Number of trading days to be redeemable | day		40
2030 Convertible Notes | Debt Conversion Terms Two
Debt Instrument [Line Items]
Percentage of the conversion price		98.00%
Number of trading days | day		5
Number of consecutive trading days | day		5
2025 Convertible Notes
Debt Instrument [Line Items]
Debt amount					$ 300,000,000.0
Interest rate, stated percentage					1.50%
Proceeds from issuance of notes					$ 290,200,000
Conversion rate (in shares)	0.0159923				0.0156906
Conversion price (in dollars per share) | $ / shares	$ 62.53				$ 63.73		$ 62.53
Aggregate repurchase principal amount				$ 240,700,000
Payments for convertible note bond hedge				293,800,000
Loss on note repurchase							$ 32,700,000
2025 Convertible Notes | Convertible Note Hedge Transactions
Debt Instrument [Line Items]
Strike price (in dollars per share) | $ / shares						$ 63.73
2025 Convertible Notes | Call Spread Transactions
Debt Instrument [Line Items]
Proceeds from issuance of notes						$ 28,600,000
Debt instrument, interest rate, effective percentage	2.10%						2.10%
Interest expense, net							$ 3,400,000	$ 6,300,000	$ 19,600,000
Net cost incurred transaction, amount							$ 11,200,000
Proceeds from termination of call spread transactions				$ 30,500,000
2025 Convertible Notes | Debt Conversion Terms One
Debt Instrument [Line Items]
Percentage of the conversion price					130.00%
Number of trading days | day					20
Number of consecutive trading days | day					30
2025 Convertible Notes | Debt Conversion Terms Two
Debt Instrument [Line Items]
Percentage of the conversion price					98.00%
Number of trading days | day					5
Number of consecutive trading days | day					5
Senior Secured Notes | Senior Notes
Debt Instrument [Line Items]
Debt amount										$ 300,000,000.0
Interest rate, stated percentage										6.25%

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The cash outflow from the repayment of a long-term debt instrument which can be exchanged for a specified amount of another security, typically the entity's common stock, at the option of the issuer or the holder.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 230
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 15
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-15

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- Definition

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+ References

No definition available.

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- Definition

Debt Instrument, Redeemable, Threshold Trading Days

+ References

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- Definition

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+ References

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- Definition

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+ References

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