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Debt - Convertible Notes (Details) |  |  |  |  |  | 3 Months Ended | 9 Months Ended
--- | --- | --- | --- | --- | --- | --- | ---
May 25, 2024 USD ($) $ / shares | Jan. 23, 2024 USD ($) day $ / shares | Jan. 19, 2024 $ / shares | Jan. 18, 2024 USD ($) | Nov. 01, 2019 USD ($) day $ / shares | May 25, 2024 USD ($) $ / shares | May 27, 2023 USD ($) | May 25, 2024 USD ($) $ / shares | May 27, 2023 USD ($)
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |
Interest expense, net |  |  |  |  |  | $ 5,800,000 | $ 5,200,000 | $ 15,200,000 | $ 16,400,000
Payments for convertible note bond hedge |  |  |  |  |  |  |  | 68,700,000 | 0
Loss on note repurchase |  |  |  |  |  | $ 0 | 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 |
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 |  |  |  |  |  | $ 300,000 | $ 1,600,000 | $ 3,000,000 | $ 4,700,000
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 |  |  |  |  |  | $ 3,300,000 |  | $ 4,400,000 |
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 |  |  |  |  |  |

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