Definition of reputation noun from the Oxford Advanced American Dictionary

  

reputation

 noun
noun
NAmE//ˌrɛpyəˈteɪʃn//
 
[countable, uncountable]
 
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 the opinion that people have about what someone or something is like, based on what has happened in the past to earn/establish/build a reputation to have a good/bad reputation reputation (as something) She soon acquired a reputation as a first-class cook. reputation (for something/for doing something) I'm aware of Mark's reputation for being late. The company enjoys a worldwide reputation for quality of design. to damage/ruin someone's reputation The weather in Portland is living up to its reputation (= is exactly as expected). She is, by reputation, very difficult to please.
See the Oxford Advanced Learner's Dictionary entry: reputation