Learner's definition of REPUTATION
: the common opinion that people have about someone or something : the way in which people think of someone or something
This car dealership has a good/bad reputation. [=people think that the car dealership is good/bad]
He has earned/established/acquired a reputation as a first-class playwright.
a teacher with a reputation for patience
Poor customer service has ruined/damaged/destroyed the company's reputation.
The cruise ship lived up to its reputation. [=the cruise ship was as good, enjoyable, etc., as we were told it would be]