Long-Term Debt - Convertible Notes (Details)						3 Months Ended		6 Months Ended
	Feb. 24, 2024 USD ($) $ / shares	Jan. 23, 2024 USD ($) day $ / shares	Jan. 19, 2024 $ / shares	Jan. 18, 2024 USD ($)	Nov. 01, 2019 USD ($) day $ / shares	Feb. 24, 2024 USD ($) $ / shares	Feb. 25, 2023 USD ($)	Feb. 24, 2024 USD ($) $ / shares	Feb. 25, 2023 USD ($)	Aug. 26, 2023 USD ($)
Debt Instrument [Line Items]
Offering-related costs	$ 14,500,000					$ 14,500,000		$ 14,500,000		$ 7,600,000
Interest expense, net						5,300,000	$ 5,300,000	9,400,000	$ 11,200,000
Payments for convertible note bond hedge								68,700,000	0
Loss on note repurchase						$ 32,700,000	0	$ 32,700,000	0
Call Spread Transactions
Debt Instrument [Line Items]
Percentage increase of strike price			100.00%
Convertible Note Hedge Transactions | Warrant
Debt Instrument [Line Items]
Strike price (in dollars per share) | $ / shares			$ 135.28
2025 Convertible Notes
Debt Instrument [Line Items]
Debt amount					$ 300,000,000
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		$ 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		$ 32,700,000
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
2025 Convertible Notes | Call Spread Transactions
Debt Instrument [Line Items]
Debt instrument, interest rate, effective percentage	2.10%					2.10%		2.10%
Interest expense, net						$ 1,100,000	$ 1,600,000	$ 2,700,000	$ 3,100,000
Proceeds from termination of call spread transactions				$ 30,500,000
2030 Convertible Notes
Debt Instrument [Line Items]
Debt amount		$ 350,000,000
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 | 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
2030 Convertible Notes | Call Spread Transactions
Debt Instrument [Line Items]
Offering-related costs	$ 10,200,000					$ 10,200,000		$ 10,200,000
Debt instrument, interest rate, effective percentage	3.80%					3.80%		3.80%
Interest expense, net						$ 1,100,000		$ 1,100,000
Net cost incurred transaction, amount								$ 20,600,000
2030 Convertible Notes | Convertible Note Hedge Transactions
Debt Instrument [Line Items]
Strike price (in dollars per share) | $ / shares			$ 87.93