You can find out the database details of your WordPress website from the wp-config.php file which is present inside the file manager of WordPress. So let's find out how you can check that, in a stepwise manner.

1. First, log in to your cPanel account using your account credentials.

2. Then click on the File Manager option present under the Files section. 

3. Then a new window will open, next click on the public_html folder.

4. Inside this folder find a file named wp-config.php, then right-click on it and click on edit.

5. A popup menu will appear, then click on the Edit/View button.

6. A new tab will open in the browser with some code in it. It will look something like this:

/** MySQL database username */
define('DB_USER', 'Username');
/** MySQL database password */
define('DB_PASSWORD', 'password');
/** MySQL hostname */
define('DB_HOST', 'localhost');​