How to detect page zoom level in all modern browsers?

How can I detect the page zoom level in all modern browsers? While this thread tells how to do it in IE7 and IE8, I can't find a good cross-browser solution.
Firefox stores the page zoom level for future access. On the first page load, would I be able to get the zoom level? Somewhere I read it works when a zoom change occurs after the page is loaded.
Is there a way to trap the 'zoom' event?

I need this because some of my calculations are pixel-based and they may fluctuate when zoomed.

Modified sample given by @tfl

This page alerts different height values when zoomed. [jsFiddle]

<html>
    <head>
        <script src="http://ajax.googleapis.com/ajax/libs/jquery/1.3.1/jquery.min.js" type="text/javascript"/></script>
    </head>
    <body>
        <div id="xy" style="border:1px solid #f00; width:100px;">Lorem ipsum dolor sit amet, consectetur adipiscing elit. Pellentesque sollicitudin tortor in lacus tincidunt volutpat. Integer dignissim imperdiet mollis. Suspendisse quis tortor velit, placerat tempor neque. Cum sociis natoque penatibus et magnis dis parturient montes, nascetur ridiculus mus. Praesent bibendum auctor lorem vitae tempor. Nullam condimentum aliquam elementum. Nullam egestas gravida elementum. Maecenas mattis molestie nisl sit amet vehicula. Donec semper tristique blandit. Vestibulum adipiscing placerat mollis.</div>
        <button onclick="alert($('#xy').height());">Show</button>
    </body>
</html>

Now it's an even bigger mess than it was when this question was first asked. From reading all the responses and blog posts I could find, here's a summary. I also set up this page to test all these methods of measuring the zoom level.

Edit (2011-12-12): I've added a project that can be cloned: https://github.com/tombigel/detect-zoom

IE8: screen.deviceXDPI / screen.logicalXDPI (or, for the zoom level relative to default zoom, screen.systemXDPI / screen.logicalXDPI)
IE7: var body = document.body,r = body.getBoundingClientRect(); return (r.left-r.right)/body.offsetWidth; (thanks to this example or this answer)
FF3.5 ONLY: screen.width / media query screen width (see below) (takes advantage of the fact that screen.width uses device pixels but MQ width uses CSS pixels--thanks to Quirksmode widths)
FF3.6: no known method
FF4+: media queries binary search (see below)
WebKit: https://www.chromestatus.com/feature/5737866978131968 (thanks to Teo in the comments)
WebKit: measure the preferred size of a div with -webkit-text-size-adjust:none.
WebKit: (broken since r72591) document.width / jQuery(document).width() (thanks to Dirk van Oosterbosch above). To get ratio in terms of device pixels (instead of relative to default zoom), multiply by window.devicePixelRatio.
Old WebKit? (unverified): parseInt(getComputedStyle(document.documentElement,null).width) / document.documentElement.clientWidth (from this answer)
Opera: document.documentElement.offsetWidth / width of a position:fixed; width:100% div. from here (Quirksmode's widths table says it's a bug; innerWidth should be CSS px). We use the position:fixed element to get the width of the viewport including the space where the scrollbars are; document.documentElement.clientWidth excludes this width. This is broken since sometime in 2011; I know no way to get the zoom level in Opera anymore.
Other: Flash solution from Sebastian
Unreliable: listen to mouse events and measure change in screenX / change in clientX

Here's a binary search for Firefox 4, since I don't know of any variable where it is exposed:

<style id=binarysearch></style>
<div id=dummyElement>Dummy element to test media queries.</div>
<script>
var mediaQueryMatches = function(property, r) {
  var style = document.getElementById('binarysearch');
  var dummyElement = document.getElementById('dummyElement');
  style.sheet.insertRule('@media (' + property + ':' + r +
                         ') {#dummyElement ' +
                         '{text-decoration: underline} }', 0);
  var matched = getComputedStyle(dummyElement, null).textDecoration
      == 'underline';
  style.sheet.deleteRule(0);
  return matched;
};
var mediaQueryBinarySearch = function(
    property, unit, a, b, maxIter, epsilon) {
  var mid = (a + b)/2;
  if (maxIter == 0 || b - a < epsilon) return mid;
  if (mediaQueryMatches(property, mid + unit)) {
    return mediaQueryBinarySearch(
        property, unit, mid, b, maxIter-1, epsilon);
  } else {
    return mediaQueryBinarySearch(
        property, unit, a, mid, maxIter-1, epsilon);
  }
};
var mozDevicePixelRatio = mediaQueryBinarySearch(
    'min--moz-device-pixel-ratio', '', a, b, maxIter, epsilon);
var ff35DevicePixelRatio = screen.width / mediaQueryBinarySearch(
    'min-device-width', 'px', 0, 6000, 25, .0001);
</script>

You can try

var browserZoomLevel = Math.round(window.devicePixelRatio * 100);

This will give you browser zoom percentage level on non-retina displays. For high DPI/retina displays, it would yield different values (e.g., 200 for Chrome and Safari, 140 for Firefox).

To catch zoom event you can use

$(window).resize(function() { 
// your code 
});

For me, for Chrome/Webkit, document.width / jQuery(document).width() did not work. When I made my window small and zoomed into my site such that horizontal scrollbars appeared, document.width / jQuery(document).width() did not equal 1 at the default zoom. This is because document.width includes part of the document outside the viewport.

Using window.innerWidth and window.outerWidth worked. For some reason in Chrome, outerWidth is measured in screen pixels and innerWidth is measured in css pixels.

var screenCssPixelRatio = (window.outerWidth - 8) / window.innerWidth;
if (screenCssPixelRatio >= .46 && screenCssPixelRatio <= .54) {
  zoomLevel = "-4";
} else if (screenCssPixelRatio <= .64) {
  zoomLevel = "-3";
} else if (screenCssPixelRatio <= .76) {
  zoomLevel = "-2";
} else if (screenCssPixelRatio <= .92) {
  zoomLevel = "-1";
} else if (screenCssPixelRatio <= 1.10) {
  zoomLevel = "0";
} else if (screenCssPixelRatio <= 1.32) {
  zoomLevel = "1";
} else if (screenCssPixelRatio <= 1.58) {
  zoomLevel = "2";
} else if (screenCssPixelRatio <= 1.90) {
  zoomLevel = "3";
} else if (screenCssPixelRatio <= 2.28) {
  zoomLevel = "4";
} else if (screenCssPixelRatio <= 2.70) {
  zoomLevel = "5";
} else {
  zoomLevel = "unknown";
}

How to detect page zoom level in all modern browsers?

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