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Post-employment benefits - Assumptions used for defined-benefit obligations in the United States, Germany and the rest of the world (Detail)
Dec. 31, 2019
Dec. 31, 2018
Post-employment benefits - Text Details (Detail) [Line Items]    
Actuarial assumption of discount rates 2.40% 3.20%
Actuarial assumption of expected rates of inflation 1.90% 2.10%
Actuarial assumption of expected rates of salary increases 2.60% 2.40%
GERMANY    
Post-employment benefits - Text Details (Detail) [Line Items]    
Actuarial assumption of discount rates 0.80% 1.50%
Actuarial assumption of expected rates of inflation 1.80% 1.80%
Actuarial assumption of expected rates of salary increases 2.50% 2.50%
Other countries [Member]    
Post-employment benefits - Text Details (Detail) [Line Items]    
Actuarial assumption of discount rates 2.60% 2.70%
Actuarial assumption of expected rates of inflation 1.90% 1.60%
Actuarial assumption of expected rates of salary increases 2.80% 2.60%
UNITED STATES    
Post-employment benefits - Text Details (Detail) [Line Items]    
Actuarial assumption of discount rates 3.10% 4.20%
Actuarial assumption of expected rates of inflation 2.00% 2.30%
Actuarial assumption of expected rates of salary increases 0.00% 0.00%