Please consider the following steps to update ArcGIS Desktop, ArcGIS Server and ArcGIS Engine.
Note: In order to get the latest Esri patches also have a look at Esri Downloadcenter.
Note: Find more information about upgrading you ArcGIS products in the Esri installation guide.
Download Esri patch finder
Please use the Esri patch finder tool from the link to check your current installed versions of Esri patches.
Download Esri patches
Compare the result of the patch finder tool with the patches provided from Esri, download the missing patches and install them on your system.
Note: Use the filter function to find the latest patches of an Esri component.

Filter function for searching Esri patches
Installation of an ArcGIS Desktop Patch
Note: Please ensure BEFORE upgrading to ArcGIS Desktop to deinstall the WebOffice extensions (WebOffice author and WebOffice extensions). After that you can continue updating ArcGIS Desktop.
Note: If GeoOffice is installed next to WebOffice 10.7 SP1, you must make sure that outdated GeoOffice modules are updated or, if no longer needed, uninstalled. Otherwise you may experience problems when using WebOffice 10.7 SP1.