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Pension and Defined Contribution Plans - Narrative (Details)
$ in Millions
12 Months Ended
Aug. 31, 2022
USD ($)
multiemployer_plan
Aug. 31, 2021
USD ($)
Aug. 31, 2020
USD ($)
Pension Plan      
Defined Benefit Plan Disclosure [Line Items]      
Percentage of plan assets (percent) 10.00%    
Number of multi-employer plans | multiemployer_plan 2    
Contributions to multi-employer plans $ 0.5 $ 0.6 $ 0.6
Defined Contribution Plan      
Defined Benefit Plan Disclosure [Line Items]      
Defined contribution plan, cost recognized 10.5 $ 8.4 $ 8.2
Common stock included in defined contribution plan, market value $ 7.3    
Common stock included in defined contribution plan as percentage of total fair value of assets in plan 1.70%    
Domestic Plans | Pension Plan      
Defined Benefit Plan Disclosure [Line Items]      
Reduction in net periodic pension cost per 100 basis point increase in benefit obligation discount rate $ 0.6    
Additional net periodic pension cost per 100 basis point decrease in expected return on plan assets rate $ 1.6    
Domestic Plans | Pension Plan | Equity securities      
Defined Benefit Plan Disclosure [Line Items]      
Targeted asset allocation, percentage 30.00%    
Domestic Plans | Pension Plan | Fixed income securities      
Defined Benefit Plan Disclosure [Line Items]      
Targeted asset allocation, percentage 65.00%    
Domestic Plans | Pension Plan | Real estate      
Defined Benefit Plan Disclosure [Line Items]      
Targeted asset allocation, percentage 5.00%    
International Plans | Pension Plan      
Defined Benefit Plan Disclosure [Line Items]      
Reduction in net periodic pension cost per 100 basis point increase in benefit obligation discount rate $ 0.5    
Additional net periodic pension cost per 100 basis point decrease in expected return on plan assets rate 0.3    
International Plans | Pension Plan | Qualified Plan      
Defined Benefit Plan Disclosure [Line Items]      
Employer expected contribution to defined benefit plans in next fiscal year $ 1.3    
International Plans | Pension Plan | Equity securities      
Defined Benefit Plan Disclosure [Line Items]      
Targeted asset allocation, percentage 15.00%    
International Plans | Pension Plan | Fixed income securities      
Defined Benefit Plan Disclosure [Line Items]      
Targeted asset allocation, percentage 25.00%    
International Plans | Pension Plan | Multi-strategy investments      
Defined Benefit Plan Disclosure [Line Items]      
Targeted asset allocation, percentage 60.00%