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Consolidated Statements of Changes in Shareholders' Equity - USD ($)
shares in Millions, $ in Millions
Total
Adoption of Accounting Standards Update ("ASU") 2020-06
Common Shares
Additional Paid-In Capital
Additional Paid-In Capital
Adoption of Accounting Standards Update ("ASU") 2020-06
Retained Earnings
Retained Earnings
Adoption of Accounting Standards Update ("ASU") 2020-06
Accumulated Other Comprehensive Income (Loss)
Treasury Stock
Beginning balance (in shares) at Aug. 28, 2021     51.8            
Beginning balance at Aug. 28, 2021 $ 1,056.9   $ 25.9 $ 218.5   $ 1,173.0   $ (0.5) $ (360.0)
Treasury stock, beginning balance (in shares) at Aug. 28, 2021                 (18.7)
Increase (Decrease) in Stockholders' Equity [Roll Forward]                  
Stock-based compensation 17.1     17.1          
Issuance of stock for employee benefit and stock-based awards, net 2.9     (2.5)         $ 5.4
Issuance of stock for employee benefit and stock-based awards, net (in shares)                 0.2
Issuance of stock for acquisition 22.0     14.7         $ 7.3
Issuance of stock for acquisition (in shares)                 0.4
Issuance of stock for settlement of earnout liability 13.2     7.8         $ 5.4
Issuance of stock for settlement of earnout liability (in shares)                 0.2
Repurchase of common stock (214.3)               $ (214.3)
Repurchase of common stock (in shares)                 (3.6)
Common stock dividends declared (26.2)         (26.2)      
Other 0.8     0.7   0.1      
Net income 390.6         390.6      
Ending balance (in shares) at Aug. 27, 2022     51.8            
Ending balance at Aug. 27, 2022 $ 1,263.0 $ (33.0) $ 25.9 256.3 $ (62.0) 1,537.5 $ 29.0 (0.5) $ (556.2)
Treasury stock, ending balance (in shares) at Aug. 27, 2022                 (21.5)
Increase (Decrease) in Stockholders' Equity [Roll Forward]                  
Accounting standards update, extensible enumeration Accounting Standards Update 2020-06 [Member]                
Stock-based compensation $ 10.9     10.9          
Issuance of stock for employee benefit and stock-based awards, net 1.2     (7.2)         $ 8.4
Issuance of stock for employee benefit and stock-based awards, net (in shares)                 0.4
Issuance of stock for settlement of earnout liability 0.0                
Repurchase of common stock (55.4)     (0.3)         $ (55.1)
Repurchase of common stock (in shares)                 (0.9)
Common stock dividends declared (34.6)         (34.6)      
Other comprehensive income 0.1             0.1  
Net income 215.9         215.9      
Ending balance (in shares) at Aug. 26, 2023     51.8            
Ending balance at Aug. 26, 2023 $ 1,368.1   $ 25.9 197.7   1,747.8   (0.4) $ (602.9)
Treasury stock, ending balance (in shares) at Aug. 26, 2023 (22.0)               (22.0)
Increase (Decrease) in Stockholders' Equity [Roll Forward]                  
Partial repurchase of convertible notes $ (22.2)     (22.2)          
Partial unwind of convertible note bond hedge 55.8     55.8          
Partial unwind of convertible note warrant (25.3)     (25.3)          
Convertible note bond hedge purchase, net of tax (51.9)     (51.9)          
Issuance of convertible note warrant 31.3     31.3          
Stock-based compensation 14.6     14.5         $ 0.1
Issuance of stock for employee benefit and stock-based awards, net 2.5     (5.1)         $ 7.6
Issuance of stock for employee benefit and stock-based awards, net (in shares)                 0.3
Issuance of stock for settlement of earnout liability 0.0                
Repurchase of common stock (75.1)     (0.6)         $ (74.5)
Repurchase of common stock (in shares)                 (1.3)
Common stock dividends declared (37.5)         (37.5)      
Net income 13.0         13.0      
Ending balance (in shares) at Aug. 31, 2024     51.8            
Ending balance at Aug. 31, 2024 $ 1,273.3   $ 25.9 $ 194.2   $ 1,723.3   $ (0.4) $ (669.7)
Treasury stock, ending balance (in shares) at Aug. 31, 2024 (23.0)               (23.0)