[css] Opacity of background-color, but not the text

How do I make the cross-browser (including Internet Explorer 6) transparency for the background of a div while the text remains opaque?

I need to do it without using any library such as jQuery, etc. (But if you know of a library that does it I'd love to know so I can look at their code).

Relaxing your requirement to work on IE6 and legacy browsers you can use ::before and display: inline-block

div
{
  display: inline-block;
  position: relative;    
}
div::before
{
  content: "";
  display: block;
  position: absolute;
  z-index: -1;
  width: 100%;
  height: 100%;
  background:red;
  opacity: .2;
}

Demo at http://jsfiddle.net/KVyFH/172/ ?

It will work on any modern browser

I've created that effect on my blog Landman Code.

What I did was

#Header {
  position: relative;
}
#Header H1 {
  font-size: 3em;
  color: #00FF00;
  margin:0;
  padding:0;
}
#Header H2 {
  font-size: 1.5em;
  color: #FFFF00;
  margin:0;
  padding:0;
}
#Header .Background {
  background: #557700;
  filter: alpha(opacity=30);
  filter: progid: DXImageTransform.Microsoft.Alpha(opacity=30);
  -moz-opacity: 0.30;
  opacity: 0.3;
  zoom: 1;
}
#Header .Background * {
  visibility: hidden; // hide the faded text
}
#Header .Foreground {
  position: absolute; // position on top of the background div
  left: 0;
  top: 0;
}

<div id="Header">
  <div class="Background">
    <h1>Title</h1>
    <h2>Subtitle</h2>
  </div>
  <div class="Foreground">
    <h1>Title</h1>
    <h2>Subtitle</h2>
  </div>
</div>

The important thing that every padding/margin and content must be the same in both the .Background as .Foreground.

Thanks @davy-landmann for https://stackoverflow.com/a/638064/417153. That's what I was looking for! Same effect with LESS code:

  @searchResultMinHeight = 200px;
  .searchResult {
    min-height: @searchResultMinHeight;

    position: relative;
    .innerTrans {
      background: white;
      .opacity(0.5);
      min-height: @searchResultMinHeight;
    }
    .innerBody {
      padding: 0.5em;
      position: absolute;
      top: 0;
    }
  }

I use an alpha-transparent PNG for that:

div.semi-transparent {
  background: url('semi-transparent.png');
}

For IE6, you'd need to use a PNG fix (1, 2), though.