Translations for utmost in French

Here are paragraphs from public domain books translated:

"So I see," the other answered, with the utmost coolness. "I fancy that my pal is all right, though I see you have got his coat-tails."	— Je le vois, répondit l’autre avec le plus grand sang-froid. Je suppose que mon copain est sauvé quoique vous ayez conservé les pans de son habit.
The Adventures of Sherlock Holmes, by Arthur Conan Doyle	Les Aventures de Sherlock Holmes, de Arthur Conan Doyle

"So I see," the other answered, with the utmost coolness. "I fancy that my pal is all right, though I see you have got his coat-tails."	— Je le vois, répondit l’autre avec le plus grand sang-froid. Je suppose que mon copain est sauvé quoique vous ayez conservé les pans de son habit.
The Adventures of Sherlock Holmes, by Arthur Conan Doyle	Les Aventures de Sherlock Holmes, de Arthur Conan Doyle

She met my difficulty with the utmost readiness.	Mme Lyons rétorqua cette objection avec une extrême promptitude :
The Hound of the Baskervilles, by Arthur Conan Doyle	Le Chien des Baskerville, de Arthur Conan Doyle