As pointed out by Ryan above, the command you need is
GRANT ALL ON *.* to user@'%' IDENTIFIED BY 'password';
However, note that the documentation indicates that in order for this to work, another user account from localhost
must be created for the same user; otherwise, the anonymous account created automatically by mysql_install_db
takes precedence because it has a more specific host column.
In other words; in order for user user
to be able to connect from any server; 2 accounts need to be created as follows:
GRANT ALL ON *.* to user@localhost IDENTIFIED BY 'password';
GRANT ALL ON *.* to user@'%' IDENTIFIED BY 'password';
Read the full documentation here.
And here's the relevant piece for reference:
After connecting to the server as root, you can add new accounts. The
following statements use GRANT to set up four new accounts:
mysql> CREATE USER 'monty'@'localhost' IDENTIFIED BY 'some_pass';
mysql> GRANT ALL PRIVILEGES ON *.* TO 'monty'@'localhost'
-> WITH GRANT OPTION;
mysql> CREATE USER 'monty'@'%' IDENTIFIED BY 'some_pass';
mysql> GRANT ALL PRIVILEGES ON *.* TO 'monty'@'%'
-> WITH GRANT OPTION;
mysql> CREATE USER 'admin'@'localhost';
mysql> GRANT RELOAD,PROCESS ON *.* TO 'admin'@'localhost';
mysql> CREATE USER 'dummy'@'localhost';
The accounts created by these statements have the following
properties:
Two of the accounts have a user name of monty and a password of
some_pass. Both accounts are superuser accounts with full privileges
to do anything. The 'monty'@'localhost' account can be used only when
connecting from the local host. The 'monty'@'%' account uses the '%'
wildcard for the host part, so it can be used to connect from any
host.
It is necessary to have both accounts for monty to be able to connect
from anywhere as monty. Without the localhost account, the
anonymous-user account for localhost that is created by
mysql_install_db would take precedence when monty connects from the
local host. As a result, monty would be treated as an anonymous user.
The reason for this is that the anonymous-user account has a more
specific Host column value than the 'monty'@'%' account and thus comes
earlier in the user table sort order. (user table sorting is discussed
in Section 6.2.4, “Access Control, Stage 1: Connection Verification”.)
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