This task requires the System Administrator or System Customizer security role A defined set of privileges. The security role assigned to a user determines which tasks the user can perform and which parts of the user interface the user can view. All users must be assigned at least one security role in order to access the system. or equivalent permissions. More information about specific permissions and performing this task while offline: Report Permissions
When you publish a report for external use, it is available for use in a Microsoft SharePoint Web part or in a custom program. In addition, you can use Microsoft SQL Server Reporting Services to work with this report.
In the Navigation Pane, click Workplace, and then under My Work, click Reports.
Select the report that you want to make available for external use.
On the Reports tab, in the Records group, click Edit.
On the Actions menu, click Publish Report For External Use.