v3.26.3
Significant Accounting Policies - Goodwill and Other Intangibles (Details)
$ in Millions
3 Months Ended 12 Months Ended
Aug. 31, 2024
USD ($)
intangible_asset
Aug. 31, 2026
USD ($)
Aug. 31, 2025
USD ($)
Aug. 31, 2024
USD ($)
Jun. 01, 2026
USD ($)
intangible_asset
Jun. 01, 2025
USD ($)
intangible_asset
Jun. 01, 2024
USD ($)
intangible_asset
Goodwill [Roll Forward]              
Beginning balance   $ 1,495.5 $ 1,098.7        
Additions from acquired businesses     394.6        
Foreign currency translation adjustments   (2.0) 2.2        
Ending balance $ 1,098.7 1,493.5 1,495.5 $ 1,098.7      
Gross Carrying Amount   1,414.7 1,426.5        
Accumulated Amortization   (545.8) (460.1)        
Indefinite-lived trade names         $ 132.6 $ 132.5 $ 135.5
Amortization expense of finite-lived intangible assets   93.1 76.5 39.7      
Intangible Asset, Finite-Lived, after Accumulated Amortization, Estimated Amortization Expense, Fiscal Year Maturity [Abstract]              
2027   90.1          
2028   85.5          
2029   84.6          
2030   81.7          
2031   81.7          
Indefinite-lived intangible assets held | intangible_asset         8 8 8
Indefinite-lived intangible assets         $ 132.6 $ 132.5 $ 135.5
Intangible asset impairment charge   2.9          
Trade Names              
Goodwill [Roll Forward]              
Indefinite-lived trade names   132.6 132.6        
Intangible Asset, Finite-Lived, after Accumulated Amortization, Estimated Amortization Expense, Fiscal Year Maturity [Abstract]              
Indefinite-lived intangible assets   132.6 132.6        
Number of impaired intangible assets | intangible_asset 1            
Intangible asset impairment charge $ 3.0            
Developed technology and patents              
Goodwill [Roll Forward]              
Gross Carrying Amount   618.8 616.7        
Accumulated Amortization   (237.7) (170.5)        
Trademarks and trade names              
Goodwill [Roll Forward]              
Gross Carrying Amount   169.1 176.9        
Accumulated Amortization   (27.6) (29.0)        
Distribution networks              
Goodwill [Roll Forward]              
Gross Carrying Amount   61.8 61.8        
Accumulated Amortization   (55.7) (53.7)        
Customer relationships              
Goodwill [Roll Forward]              
Gross Carrying Amount   565.0 571.1        
Accumulated Amortization   (224.8) (206.9)        
ABL              
Goodwill [Roll Forward]              
Beginning balance   1,016.0 1,015.1        
Additions from acquired businesses     0.0        
Foreign currency translation adjustments   (1.1) 0.9        
Ending balance 1,015.1 1,014.9 1,016.0 1,015.1      
AIS              
Goodwill [Roll Forward]              
Beginning balance   479.5 83.6        
Additions from acquired businesses     394.6        
Foreign currency translation adjustments   (0.9) 1.3        
Ending balance $ 83.6 $ 478.6 $ 479.5 $ 83.6