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Long-Term Debt - Convertible Notes Narrative (Details)
12 Months Ended
Aug. 26, 2023
USD ($)
$ / shares
Rate
Nov. 01, 2019
USD ($)
businessDay
$ / shares
Rate
Oct. 30, 2019
USD ($)
$ / shares
Aug. 26, 2023
USD ($)
$ / shares
Aug. 27, 2022
USD ($)
Aug. 28, 2021
USD ($)
Debt Instrument [Line Items]            
Non-cash interest expense, net       $ 0 $ 15,100,000 $ 13,900,000
Offering-related costs $ 7,600,000     7,600,000 8,800,000  
Interest expense, net       $ 20,500,000 41,300,000 40,400,000
Call Spread Transactions            
Debt Instrument [Line Items]            
Percentage increase of strike price     100.00%      
Equity component of issuance         85,000,000  
Equity component of issuance, net of tax         64,100,000  
Offering-related costs         9,800,000  
Call Spread Transactions | Warrant            
Debt Instrument [Line Items]            
Strike price (in dollars per share) | $ / shares     $ 96.20      
Convertible Senior Notes due 2025            
Debt Instrument [Line Items]            
Debt amount   $ 300,000,000     300,000,000  
Interest rate, stated percentage   1.50%        
Proceeds from issuance of notes   $ 290,200,000        
Conversion rate | Rate 1.59395% 1.56906%        
Conversion price (in dollars per share) | $ / shares $ 62.74 $ 63.73   $ 62.74    
Number of consecutive trading days | businessDay   30        
Consecutive business days | businessDay   5        
Consecutive trading days | businessDay   5        
Convertible Senior Notes due 2025 | Convertible Note Hedge Transactions            
Debt Instrument [Line Items]            
Strike price (in dollars per share) | $ / shares     $ 63.73      
Convertible Senior Notes due 2025 | Call Spread Transactions            
Debt Instrument [Line Items]            
Debt amount         $ 215,000,000  
Interest rate, stated percentage         8.00%  
Proceeds from issuance of notes     $ 28,600,000      
Debt instrument, interest rate, effective percentage 2.10%     2.10%    
Interest expense, net       $ 6,300,000 $ 19,600,000 $ 18,400,000
Net cost incurred transaction, amount       $ 11,200,000    
Convertible Senior Notes due 2025 | Minimum            
Debt Instrument [Line Items]            
Percentage of the conversion price   130.00%        
Number of trading days | businessDay   20        
Convertible Senior Notes due 2025 | Maximum            
Debt Instrument [Line Items]            
Percentage of the conversion price   98.00%