diff --git a/README.md b/README.md
index dec32b8cf..f0693158b 100644
--- a/README.md
+++ b/README.md
@@ -36,8 +36,8 @@ file as described above.
 2. Download the [`composer.phar`](http://getcomposer.org/composer.phar) executable
 3. Run Composer to get the dependencies: `php composer.phar install`
 
-Global installation of composer (manually)
-------------------------------------------
+Global installation of composer (manual)
+----------------------------------------
 
 Since composer works with the current working directory it is possible to install it
 in a system wide way.
@@ -57,11 +57,14 @@ Installing via this homebrew formula will always get you the latest composer ver
 2. Change into a project directory `cd /path/to/my/project`
 3. Use composer as you normally would `composer.phar install`
 
-*You will see a warning "Warning: Cannot verify package integrity"; however, this is benign and expected.*
+*You will see a warning "Warning: Cannot verify package integrity"; however,
+this is benign and expected.*
 
-To upgrade:
+Updating composer
+-----------------
 
-1. run `brew uninstall composer ; brew install https://raw.github.com/gist/1574469/composer.rb`
+Running `php composer.phar self-update` or equivalent will update a phar
+install with the latest version.
 
 Configuration
 -------------