The below script can be used to check the backup timings for all the database in a SQL server instance.

DECLARE @dbname sysname

SET @dbname = NULL --set this to be whatever dbname you want

SELECT bup.user_name AS [User],

 bup.database_name AS [Database],

 bup.server_name AS [Server],

 bup.backup_start_date AS [Backup Started],

 bup.backup_finish_date AS [Backup Finished]

 ,CAST((CAST(DATEDIFF(s, bup.backup_start_date, bup.backup_finish_date) AS int))/3600 AS varchar) + ' hours, ' 

 + CAST((CAST(DATEDIFF(s, bup.backup_start_date, bup.backup_finish_date) AS int))/60 AS varchar)+ ' minutes, '

 + CAST((CAST(DATEDIFF(s, bup.backup_start_date, bup.backup_finish_date) AS int))%60 AS varchar)+ ' seconds'

 AS [Total Time]

FROM msdb.dbo.backupset bup

WHERE bup.backup_set_id IN

  (SELECT MAX(backup_set_id) FROM msdb.dbo.backupset

  WHERE database_name = ISNULL(@dbname, database_name) --if no dbname, then return all

  AND type = 'D' --only interested in the time of last full backup

  GROUP BY database_name) 

ORDER BY bup.database_name;

If you want to find the percent completion of operations like backup, use the below query.

SELECT      command, percent_complete,

            'elapsed' = total_elapsed_time / 60000.0,

            'remaining' = estimated_completion_time / 60000.0

FROM        sys.dm_exec_requests

WHERE       command like 'BACKUP%'