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Database has the following columns:
id, uuid, trophies

In order to get the ranking number of a player based on trophies, I currently use this query:

 SELECT rank FROM (SELECT (@num := @num +1) as rank, uuid FROM User, 
 (SELECT @num := 0) x ORDER BY trophies DESC) as TMP WHERE 
 uuid=UNHEX('7c6d37759dd749349f2c32303a367226');

However, the query takes around 1.3 seconds due to the size of the database (300,000 players).

Is there a more efficient method on getting the rank number in MySQL?

Here's the SHOW CREATE TABLE statement as requested:

CREATE TABLE `User` (`id` int(11) NOT NULL AUTO_INCREMENT, 
`uuid` binary(16) DEFAULT NULL, `trophies` int(11) DEFAULT NULL, 
PRIMARY KEY (`id`), UNIQUE KEY `uuid` (`uuid`)
) ENGINE=InnoDB AUTO_INCREMENT=57917982 DEFAULT CHARSET=latin1

EXPLAIN statement:

Found the solution:

This query is at least 10,000x faster.

SELECT 1 + (SELECT COUNT(*) FROM User a WHERE a.trophies > b.trophies) AS rank 
FROM User b WHERE uuid = UNHEX('7c6d37759dd749349f2c32303a367226') ORDER BY 
rank LIMIT 1;