Fulltext Match
You could look at implementing something similar to the MATCH example here: 
mysql> SELECT id, body, MATCH (title,body) AGAINST
    -> ('Security implications of running MySQL as root') AS score
    -> FROM articles WHERE MATCH (title,body) AGAINST
    -> ('Security implications of running MySQL as root');
+----+-------------------------------------+-----------------+
| id | body                                | score           |
+----+-------------------------------------+-----------------+
|  4 | 1. Never run mysqld as root. 2. ... | 1.5219271183014 |
|  6 | When configured properly, MySQL ... | 1.3114095926285 |
+----+-------------------------------------+-----------------+
2 rows in set (0.00 sec)
So for your example, perhaps:
SELECT id, MATCH (content) AGAINST ('your string') AS score
FROM messages 
WHERE MATCH (content) AGAINST ('your string')
    AND score > 1;
Note that to use these functions your content column would need to be a FULLTEXT index.
What is score in this example?
It is a relevance value. It is computed through the process described below:
Every correct word in the collection and in the query is weighted
  according to its significance in the collection or query.
  Consequently, a word that is present in many documents has a lower
  weight (and may even have a zero weight), because it has lower
  semantic value in this particular collection. Conversely, if the word
  is rare, it receives a higher weight. The weights of the words are
  combined to compute the relevance of the row.
From the documentation page.