Upgrading SP2010 farm to SP2 - Correct Order?

We've got a small SP 2010 SP1 farm with the following configuration

1 SharePoint 2010 Server with Web Apps

1 FAST Search Server

Our database is on another separate server.

First off, we don't need to apply any updates to the SQL Server, itself, for SP2 do we?
Secondly, the order I plan on installing SP2 is

1. Install SP on SharePoint Server and run Configuration Wizard

2. Install Office 2010 Web Apps SP2 on SharePoint Server

3. Install FAST Search Server SP2 on FAST Server

Am I following the correct steps here?

Orange County District Attorney