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Pension and Defined Contribution Plans - Net Periodic Pension Cost and Pension Plan Asset Allocation (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Aug. 31, 2025
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]        
Settlement loss (gain) $ 30.9 $ 30.9 $ 0.0 $ 0.0
Domestic Plans | Pension Plan        
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]        
Service cost   4.6 3.6 3.8
Interest cost   7.8 7.8 7.4
Expected return on plan assets   (6.7) (6.7) (7.5)
Amortization of prior service cost   0.0 0.1 2.6
Recognized actuarial loss   1.6 1.7 2.4
Settlement loss (gain)   33.2 0.0 0.0
Net periodic pension cost   $ 40.5 $ 6.5 $ 8.7
Defined Benefit Plan, Weighted Average Assumptions Used in Calculating Benefit Obligation [Abstract]        
Discount rate 5.30% 5.30% 4.90%  
Rate of compensation increase 5.00% 5.00% 5.00%  
Defined Benefit Plan, Weighted Average Assumptions Used in Calculating Net Periodic Benefit Cost [Abstract]        
Discount rate   4.90% 5.10% 4.40%
Expected return on plan assets   5.30% 5.30% 5.50%
Rate of compensation increase   5.00% 5.00% 5.00%
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 100.00% 100.00% 100.00%  
Domestic Plans | Pension Plan | Equity securities        
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 14.00% 14.00% 17.20%  
Domestic Plans | Pension Plan | Fixed income securities        
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 71.60% 71.60% 77.30%  
Domestic Plans | Pension Plan | Multi-strategy investments        
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 0.00% 0.00% 0.00%  
Domestic Plans | Pension Plan | Real estate        
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 14.40% 14.40% 5.50%  
Domestic Plans | Pension Plan | Guaranteed insurance policies        
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 0.00% 0.00% 0.00%  
International Plans | Pension Plan        
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]        
Service cost   $ 0.8 $ 0.9 $ 0.8
Interest cost   1.9 2.0 1.6
Expected return on plan assets   (1.7) (2.0) (2.1)
Amortization of prior service cost   0.1 0.0 0.0
Recognized actuarial loss   1.0 1.6 0.6
Settlement loss (gain)   (2.3) 0.0 0.0
Net periodic pension cost   $ (0.2) $ 2.5 $ 0.9
Defined Benefit Plan, Weighted Average Assumptions Used in Calculating Benefit Obligation [Abstract]        
Discount rate 6.90% 6.90% 5.90%  
Rate of compensation increase 4.50% 4.50% 3.40%  
Defined Benefit Plan, Weighted Average Assumptions Used in Calculating Net Periodic Benefit Cost [Abstract]        
Discount rate   5.90% 5.90% 4.90%
Expected return on plan assets   5.40% 4.70% 6.40%
Rate of compensation increase   3.40% 3.50% 3.50%
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 100.00% 100.00% 100.00%  
International Plans | Pension Plan | Equity securities        
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 0.00% 0.00% 0.00%  
International Plans | Pension Plan | Fixed income securities        
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 0.40% 0.40% 93.20%  
International Plans | Pension Plan | Multi-strategy investments        
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 0.00% 0.00% 6.80%  
International Plans | Pension Plan | Real estate        
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 0.00% 0.00% 0.00%  
International Plans | Pension Plan | Guaranteed insurance policies        
Defined Benefit Plan, Plan Assets, Allocations [Abstract]        
Pension plan asset allocation, percentage 99.60% 99.60% 0.00%