Adding scroll up & down arrow into DIV

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Down arrow is shown to let the reader know there is content below, while up arrow is shown to allow reader to jump back to top

HTML

<div id="container">
    <div id="content">
    	<p>....</p>
    </div>
    <div id="scroll"><div id="backtobottom"><i class="fa fa-angle-double-down" aria-hidden="true"></i></div><div id="backtotop"><i class="fa fa-angle-double-up" aria-hidden="true"></i></div></div>
</div>

CSS

#container {
    width: 100%;
    position: relative;
    float: none;
    height: 200px;
    overflow-y: scroll;
}

#content {
    width:100%;
    height: 100%;
    overflow: auto;
    overflow-x: hidden;
}

.fa {
    font-size: 40px;
}

#scroll {
    z-index: 200;
    position:absolute;
    bottom: 0;
    height: 30px;
    width: 100%;
    }

#scrolltoup {
    position: absolute;
    bottom: 5px;
    right: 15px;
    height: 40px;
    width: 40px;
}

#scrolltobottom {
    position: absolute;
    bottom: 5px;
    right: 35px;
    height: 40px;
    width: 40px;
}

Javascript

$('#content').scroll(function() {
    var total = $(this)[0].scrollHeight - $(this).height();
    var opacity = $(this).scrollTop() / total;
    $('#backtotop').css('opacity', opacity);
    $('#backtobottom').css('opacity', 1-opacity);
});

$('#backtotop').click(function() {
    $('#content').animate({
        scrollTop: 0
    }, 800);
});

$('#backtobottom').click(function() {
    $('#content').animate({
        scrollTop: $("#content")[0].scrollHeight
    }, 800);
});

Dependent libraries: jQuery, Font-awesome, Bootstrap