Add a link to an image in a css style sheet

You can not do that...

via css the URL you put on the background-image is just for the image.

Via HTML you have to add the href for your hyperlink in this way:

<a href="http://home.com" id="logo">Your logo</a>

With text-indent and some other css you can adjust your a element to show just the image and clicking on it you will go to your link.

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EDIT:

I'm here again to show you and explain why my solution is much better:

<a href="http://home.com" id="logo">Your logo name</a>

This block of HTML is SEO friendly because you have some text inside your link!

How to style it with css:

#logo {
  background-image: url(images/logo.png);
  display: block;
  margin: 0 auto;
  text-indent: -9999px;
  width: 981px;
  height: 180px;
}

Then if you don't care about SEO good to choose the other answer.