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Pension and Defined Contribution Plans - Domestic and International Pension Plans (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Amounts recognized in the consolidated balance sheets consist of:      
Non-current assets $ 13.0 $ 0.0  
Non-current liabilities (60.2) (91.6)  
Pension Plan | Domestic Plans      
Change in Benefit Obligation:      
Benefit obligation at beginning of year 249.6 239.2  
Service cost 4.6 4.3 $ 2.9
Interest cost 5.3 6.4 7.7
Actuarial (gains) losses (5.2) 8.5  
Benefits paid (29.6) (8.8)  
Other 0.0 0.0  
Benefit obligation at end of year 224.7 249.6 239.2
Change in plan assets:      
Fair value of plan assets at beginning of year 167.1 151.5  
Actual return on plan assets 21.7 19.0  
Employer contributions 23.4 5.4  
Benefits paid (29.6) (8.8)  
Other 0.0 0.0  
Fair value of plan assets at end of year 182.6 167.1 151.5
Funded status at end of year:      
Funded status at the end of year (42.1) (82.5)  
Amounts recognized in the consolidated balance sheets consist of:      
Non-current assets 13.0 0.0  
Current liabilities (5.2) (5.0)  
Non-current liabilities (49.9) (77.5)  
Net amount recognized in consolidated balance sheets (42.1) (82.5)  
Accumulated benefit obligation 223.8 249.1  
Pre-tax amounts in accumulated other comprehensive loss:      
Prior service cost (5.6) (8.4)  
Net actuarial loss (55.2) (79.2)  
Amounts in accumulated other comprehensive loss (60.8) (87.6)  
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 81.7 249.6  
Accumulated benefit obligation 80.8 249.1  
Plan assets 26.6 167.1  
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 143.0 0.0  
Accumulated benefit obligation 143.0 0.0  
Plan assets 156.0 0.0  
Pension Plan | International Plans      
Change in Benefit Obligation:      
Benefit obligation at beginning of year 49.2 44.6  
Service cost 0.3 0.3 0.2
Interest cost 0.9 0.9 1.3
Actuarial (gains) losses 1.7 0.7  
Benefits paid (1.3) (1.4)  
Other 1.8 4.1  
Benefit obligation at end of year 52.6 49.2 44.6
Change in plan assets:      
Fair value of plan assets at beginning of year 35.1 30.7  
Actual return on plan assets 5.3 1.9  
Employer contributions 2.1 0.8  
Benefits paid (1.3) (1.4)  
Other 1.0 3.1  
Fair value of plan assets at end of year 42.2 35.1 $ 30.7
Funded status at end of year:      
Funded status at the end of year (10.4) (14.1)  
Amounts recognized in the consolidated balance sheets consist of:      
Non-current assets 0.0 0.0  
Current liabilities (0.1) 0.0  
Non-current liabilities (10.3) (14.1)  
Net amount recognized in consolidated balance sheets (10.4) (14.1)  
Accumulated benefit obligation 51.7 49.2  
Pre-tax amounts in accumulated other comprehensive loss:      
Prior service cost (0.1) 0.0  
Net actuarial loss (11.3) (13.5)  
Amounts in accumulated other comprehensive loss (11.4) (13.5)  
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 52.6 49.2  
Accumulated benefit obligation 51.7 49.2  
Plan assets 42.2 35.1  
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 0.0 0.0  
Accumulated benefit obligation 0.0 0.0  
Plan assets $ 0.0 $ 0.0