Cross-Browser Method to Determine Vertical Scroll Percentage in Javascript

Oct 2016: Fixed. Parentheses in jsbin demo were missing from answer. Oops.

Chrome, Firefox, IE9+. Live Demo on jsbin

var h = document.documentElement, 
    b = document.body,
    st="scrollTop",
    sh="scrollHeight";

var percent = (h[st]||b[st]) / ((h[sh]||b[sh]) - h.clientHeight) * 100;

As function:

function getScrollPercent() {
    var h = document.documentElement, 
        b = document.body,
        st="scrollTop",
        sh="scrollHeight";
    return (h[st]||b[st]) / ((h[sh]||b[sh]) - h.clientHeight) * 100;
}

If you prefer jQuery (original answer):

$(window).on('scroll', function(){
  var s = $(window).scrollTop(),
      d = $(document).height(),
      c = $(window).height();

  var scrollPercent = (s / (d - c)) * 100;
  
  console.clear();
  console.log(scrollPercent);
})

html{ height:100%; }
body{ height:300%; }

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>