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Debt - Convertible Notes (Details)
 3 Months Ended 6 Months Ended
Mar. 01, 2025
USD ($)
$ / shares
Jan. 23, 2024
USD ($)
day
$ / shares
Jan. 18, 2024
USD ($)
Nov. 01, 2019
USD ($)
$ / shares
Mar. 01, 2025
USD ($)
$ / shares
Feb. 24, 2024
USD ($)
Mar. 01, 2025
USD ($)
$ / shares
Feb. 24, 2024
USD ($)
Aug. 31, 2024
USD ($)
Debt Instrument [Line Items]                  
Outstanding amount $ 539,400,000       $ 539,400,000   $ 539,400,000   $ 637,100,000
Offering-related costs 10,600,000       10,600,000   10,600,000   $ 13,100,000
Interest expense, net         6,800,000 $ 5,300,000 12,600,000 $ 9,400,000  
Payments for convertible note bond hedge             0 68,700,000  
Loss on note repurchase         2,000,000.0 32,700,000 2,000,000.0 32,700,000  
2025 Convertible Notes                  
Debt Instrument [Line Items]                  
Debt amount       $ 300,000,000.0          
Interest rate, stated percentage       1.50%          
Outstanding amount $ 59,300,000       $ 59,300,000   $ 59,300,000    
Proceeds from issuance of notes       $ 290,200,000          
Conversion rate (in shares) 0.0162082     0.0156906          
Conversion price (in dollars per share) | $ / shares $ 61.70     $ 63.73 $ 61.70   $ 61.70    
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 | Call Spread Transactions                  
Debt Instrument [Line Items]                  
Debt instrument, interest rate, effective percentage 2.10%       2.10%   2.10%    
Interest expense, net         $ 300,000 $ 1,100,000 $ 600,000 $ 2,700,000  
Proceeds from termination of call spread transactions     $ 30,500,000            
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 | 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   $ 6,500,000    
Net cost incurred transaction, amount             $ 20,600,000