Translations for complimentary in French

Here are paragraphs from public domain books translated:
"It was very nice and complimentary of you," Holmes answered. "It is entirely a question of barometric pressure." — C’est très aimable et très flatteur de votre part, répondit Holmes. C’est absolument une question de pression barométrique.
The Adventures of Sherlock Holmes, by Arthur Conan Doyle Les Aventures de Sherlock Holmes, de Arthur Conan Doyle