Search Form

I’ve got a search form on my site:

<form method="get" name="searchform" id="searchform" action="<?php bloginfo('url'); ?>/search.php">
<input type="submit" id="searchsubmit" value="Search" class="search_submit">
<input type="text" name="s" id="s" value="<?php the_search_query(); ?>" class="search">
</form>

I want it to display a page with the search results. Say a user searches for the word “Microsoft” after clicking Submit a page would come up with a list of posts with Microsoft in the title or body.