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Pensions and other post-employment benefits - Actuarial assumptions (Details)
Dec. 31, 2023
Dec. 31, 2022
Actuarial assumptions analysis    
Discount rate (as a percent) 4.40% 4.70%
United States    
Actuarial assumptions analysis    
Discount rate (as a percent) 4.70% 4.90%
Germany    
Actuarial assumptions analysis    
Discount rate (as a percent) 3.20% 3.70%
United Kingdom    
Actuarial assumptions analysis    
Discount rate (as a percent) 4.50% 4.80%
Long-term rate of improvement (as a percent) 1.50%