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Pension and Defined Contribution Plans - Fair Value Measurements and Benefit Payments (Details) - Pension Plan - USD ($)
$ in Millions
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Domestic Plans      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value $ 141.5 $ 182.6 $ 167.1
Defined Benefit Plan, Expected Future Benefit Payment [Abstract]      
2023 12.0    
2024 12.0    
2025 13.0    
2026 14.6    
2027 13.6    
2028-2032 63.9    
Domestic Plans | Level 1 | Mutual Funds, Domestic large cap equity fund      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 23.7 38.9  
Domestic Plans | Level 1 | Mutual Funds, Foreign equity fund      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 12.6 23.1  
Domestic Plans | Level 1 | Collective trust: Domestic small cap equities      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
Domestic Plans | Level 1 | Short-term fixed income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 2.1 6.9  
Domestic Plans | Level 2 | Mutual Funds, Domestic large cap equity fund      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
Domestic Plans | Level 2 | Mutual Funds, Foreign equity fund      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
Domestic Plans | Level 2 | Collective trust: Domestic small cap equities      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 8.4 13.3  
Domestic Plans | Level 2 | Short-term fixed income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
Domestic Plans | Level 3 | Mutual Funds, Domestic large cap equity fund      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
Domestic Plans | Level 3 | Mutual Funds, Foreign equity fund      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
Domestic Plans | Level 3 | Collective trust: Domestic small cap equities      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
Domestic Plans | Level 3 | Short-term fixed income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
Domestic Plans | Level 1,2 and 3      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 46.8 82.2  
Domestic Plans | Level 1,2 and 3 | Mutual Funds, Domestic large cap equity fund      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 23.7 38.9  
Domestic Plans | Level 1,2 and 3 | Mutual Funds, Foreign equity fund      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 12.6 23.1  
Domestic Plans | Level 1,2 and 3 | Collective trust: Domestic small cap equities      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 8.4 13.3  
Domestic Plans | Level 1,2 and 3 | Short-term fixed income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 2.1 6.9  
Domestic Plans | NAV      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 94.7 100.4  
Domestic Plans | NAV | Fixed-income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 84.5 92.3  
Domestic Plans | NAV | Real estate fund      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 10.2 8.1  
International Plans      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 28.5 42.2 $ 35.1
Defined Benefit Plan, Expected Future Benefit Payment [Abstract]      
2023 1.3    
2024 1.3    
2025 1.5    
2026 1.5    
2027 1.6    
2028-2032 10.7    
International Plans | Equity securities      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 4.8 6.8  
International Plans | Short-term fixed income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.3 1.0  
International Plans | Multi-strategy investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 17.2 26.9  
International Plans | Fixed-income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 6.2 7.5  
International Plans | Level 1 | Equity securities      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
International Plans | Level 1 | Short-term fixed income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.3 1.0  
International Plans | Level 1 | Multi-strategy investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
International Plans | Level 1 | Fixed-income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
International Plans | Level 2 | Equity securities      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 4.8 6.8  
International Plans | Level 2 | Short-term fixed income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
International Plans | Level 2 | Multi-strategy investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 17.2 26.9  
International Plans | Level 2 | Fixed-income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 6.2 7.5  
International Plans | Level 3 | Equity securities      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
International Plans | Level 3 | Short-term fixed income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
International Plans | Level 3 | Multi-strategy investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value 0.0 0.0  
International Plans | Level 3 | Fixed-income investments      
Defined Benefit Plan Disclosure [Line Items]      
Total assets at fair value $ 0.0 $ 0.0