Global variables don't exist in HTML--these are just static pages of code. In order to pass a value from one page to another you can only use cookies (which you are concerned of users disabling, thus making them useless), the querystring, or a form post. Querystring can be set either by modifying the link to pages or by using a form with the get method.
Since welcome.HTML does not have a direct link to complete.htm, you will need to find a way to continuously pass the variable from page to page until complete.htm is reached. The simplest solution in this case is probably to use JavaScript to modify each link to each page in your sequence of links to include the QueryString on each link, until complete.htm is reached.