Scale a div to fit in window but preserve aspect ratio

Question

How can I scale a div to fit inside the browser view port but preserve the aspect ratio of the div. How can I do this using CSS and/or JQuery?

Thanks!

Answer 1

Thanks to Geoff for the tip on how to structure the math and logic. Here's my jQuery implementation, which I'm using to size a lightbox so it fills the window:

var height = originalHeight;
var width = originalWidth;
aspect = width / height;

if($(window).height() < $(window).width()) {
    var resizedHeight = $(window).height();
    var resizedWidth = resizedHeight * aspect;
}

else { // screen width is smaller than height (mobile, etc)
    var resizedWidth = $(window).width();
    var resizedHeight = resizedWidth / aspect;      
}

This is working well for me right now across laptop and mobile screen sizes.