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Pension and Defined Contribution Plans - Domestic and International Pension Plans (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Amounts recognized in the consolidated balance sheets consist of:      
Non-current assets $ 9.7 $ 13.3  
Non-current liabilities (39.2) (37.5)  
Pension Plan | Domestic Plans      
Change in benefit obligation:      
Benefit obligation at beginning of year 163.8 159.8  
Service cost 4.6 3.6 $ 3.8
Interest cost 7.8 7.8 7.4
Actuarial (gains) losses (12.1) 3.7  
Settlements (95.2) 0.0  
Benefits paid (12.2) (11.1)  
Other 0.0 0.0  
Benefit obligation at end of year 56.7 163.8 159.8
Change in plan assets:      
Fair value of plan assets at beginning of year 134.5 132.7  
Actual (loss) return on plan assets (1.6) 9.5  
Employer contributions 0.9 3.4  
Benefits paid (12.2) (11.1)  
Settlements (95.2) 0.0  
Other 0.0 0.0  
Fair value of plan assets at end of year 26.4 134.5 132.7
Funded status at the end of year (30.3) (29.3)  
Amounts recognized in the consolidated balance sheets consist of:      
Non-current assets 5.4 8.4  
Current liabilities (3.4) (4.2)  
Non-current liabilities (32.3) (33.5)  
Net amount recognized in consolidated balance sheets (30.3) (29.3)  
Accumulated benefit obligation 55.6 162.5  
Pre-tax amounts in accumulated other comprehensive loss:      
Prior service cost 0.0 (0.1)  
Net actuarial loss (4.8) (43.5)  
Amounts in accumulated other comprehensive loss (4.8) (43.6)  
Pension Plan | Domestic Plans | Pensions plans in which benefit obligation exceeds plan assets:      
Pensions plans in which benefit obligation exceeds plan assets:      
Projected benefit obligation 35.7 37.7  
Accumulated benefit obligation 34.6 36.4  
Pension Plan | Domestic Plans | Pensions plans in which plan assets exceed benefit obligation:      
Pensions plans in which plan assets exceed benefit obligation:      
Projected benefit obligation 21.0 126.1  
Accumulated benefit obligation 21.0 126.1  
Plan assets 26.4 134.5  
Pension Plan | International Plans      
Change in benefit obligation:      
Benefit obligation at beginning of year 34.0 34.6  
Service cost 0.8 0.9 0.8
Interest cost 1.9 2.0 1.6
Actuarial (gains) losses (2.2) (0.1)  
Settlements (1.4) 0.0  
Benefits paid (2.4) (1.9)  
Other 1.2 (1.5)  
Benefit obligation at end of year 31.9 34.0 34.6
Change in plan assets:      
Fair value of plan assets at beginning of year 34.6 32.1  
Actual (loss) return on plan assets (3.2) 3.2  
Employer contributions 1.0 0.0  
Benefits paid (1.6) (1.3)  
Settlements (2.6) 0.0  
Other 0.7 0.6  
Fair value of plan assets at end of year 28.9 34.6 $ 32.1
Funded status at the end of year (3.0) 0.6  
Amounts recognized in the consolidated balance sheets consist of:      
Non-current assets 4.3 4.9  
Current liabilities (0.4) (0.3)  
Non-current liabilities (6.9) (4.0)  
Net amount recognized in consolidated balance sheets (3.0) 0.6  
Accumulated benefit obligation 29.0 31.8  
Pre-tax amounts in accumulated other comprehensive loss:      
Prior service cost (0.2) 0.0  
Net actuarial loss 12.4 (8.8)  
Amounts in accumulated other comprehensive loss 12.2 (8.8)  
Pension Plan | International Plans | Pensions plans in which benefit obligation exceeds plan assets:      
Pensions plans in which benefit obligation exceeds plan assets:      
Projected benefit obligation 7.3 4.3  
Accumulated benefit obligation 4.4 2.9  
Pension Plan | International Plans | Pensions plans in which plan assets exceed benefit obligation:      
Pensions plans in which plan assets exceed benefit obligation:      
Projected benefit obligation 24.6 29.7  
Accumulated benefit obligation 24.6 28.9  
Plan assets $ 28.9 $ 34.6