After the update has been completed, go to (Settings) > (System Settings) > [System Information].
If the [System Software] field displays the version number of the update, the update was successful.
If a screen prompting you to update is displayed when you start a game, you must perform a system software update to start the game. Select [Yes], and then press the button to start the update. Follow the on-screen instructions to complete the update.
Be sure to save the update data as noted below. If the data is not saved in the correct way, the PS3™ system will not recognize the update data. The folder name must be in all uppercase letters.
If a new version of the system software is found, an update is necessary. Press the button to start downloading the update data.
Follow the on-screen instructions to perform the update.