Drupal 7 Internationalization - why are my admin menus still in English? I'm trying to make a fully bilingual website that will be administered by French and English users.

I've installed the internationalization module and all its dependencies and the localization update module, which claims to have installed French language support. I've successfully got all the front-end content, menus and views translated and language switching working, but no matter what I do, the admin menus remain in English. It doesn't matter whether I change my default language in the user preferences or set the site to French with a url parameter, I can't get the admin menus to change language. Many of the tutorials I've seen online seem to gloss over this as though it happens automatically. 

Is it possible to display Dashboard, Content, Structure...etc in French as well as the default English or am I going nuts?
If you swap from french to English the admin menu should also switch from french to English (Drupal 7).

In the tag "detection and selection" of Admin/Configuration/Regional and language/Languages" click the "Default" checkbox in order to use the default site language.

The "Localization update" module also helps you keep your interface translations for core and contributed modules up-to-date :


Enable the Locale (core) module
Download and enable the "Localization update" module
Go to the configuration page at admin/config/regional and language/translate interface/update
Wait as the module looks for translation updates
Click Refresh information button at the bottom of the page
Wait as the module gets all translations
Disable the Localization update module when finished to improve site performance.