Bootstrap: Fill whole container under navbar minus navbar height

On a page styled with Twitter Bootstrap and using the navbar I wanted to fill the whole container below the navigation bar with a Google Maps map. To accomplish that I have added the CSS following below.

I define for the html and body elements the sizes to 100% so that this is used for the map's size definition. This solution, however, yields one problem:

The map's height is now the same as the whole page height, which results in a scroll bar which I can scroll for the 40px the navigation bar adds. How can I set the size of the map to 100% - 40px of the navigation bar?

#map {
        height: 100%;
        width: 100%;

#map img {
        max-width: none;

html, body {
        height: 100%;
        width: 100%;

.fill { 
        height: 100%;
        width: 100%;

.navbar {
        margin-bottom: 0;

For completeness the HTML:

<!DOCTYPE html>
<html lang="en">
                <meta http-equiv="Content-Type" content="text/html;charset=utf-8">
                <!-- Stylesheets -->
                <link rel="stylesheet" type="text/css" href="css/bootstrap.min.css">
                <link rel="stylesheet" type="text/css" href="css/core.css">
                <div class="navbar">
                        <div class="navbar-inner">
                <div class="container fill">
                        <div id="map"> 


You could solve the problem with absolute positioning.

.fill {
    top: 40px;
    left: 0;
    right: 0;
    bottom: 0;
    position: absolute;
    width: auto;
    height: auto;

Demo (jsfiddle)

You could also make the navbar .navbar-fixed-top and somehow add a padding or margin inside the #map element.

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