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Pensions and other post-employment benefits - Actuarial assumptions (Details)
Dec. 31, 2024
Dec. 31, 2023
Actuarial assumptions analysis    
Discount rate (as a percent) 4.90% 4.40%
United States    
Actuarial assumptions analysis    
Discount rate (as a percent) 5.30% 4.70%
Germany    
Actuarial assumptions analysis    
Discount rate (as a percent) 3.40% 3.20%
United Kingdom    
Actuarial assumptions analysis    
Discount rate (as a percent) 5.60% 4.50%
Long-term rate of improvement (as a percent) 1.50%