I don't believe that brown suit as becoming as my navy blue, do you?
English translation: appropriate, attractive
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Explanation: The term "becoming" is an adjective that has two somewhat related definitions (according to the American Heritage Dictionary):
1. Appropriate, suitable, or proper.
2. Pleasing or attractive to the eye.
In your sentence, the speaker is expressing a preference for the navy blue suit over the brown suit. The navy blue suit is more attractive and/or more appropriate (perhaps for a particular occasion). It is, in a word, more becoming.