This is called a "Stacked Bar Chart", and can indeed be created with the Google Visualisation API.
Simply use the "isStacked" property (described here; http://code.google.com/apis/visualization/documentation/gallery/barchart.html).
Here's some sample code (based off the default bar chart example provided by Google and updated to show the use of isStacked and some sample data from your example);
function drawVisualization() {
var data = new google.visualization.DataTable();
data.addColumn('string', 'Month');
data.addColumn('number');
data.addColumn('number');
data.addRows(12);
data.setCell(0, 0, 'January');
data.setCell(1, 0, 'February');
data.setCell(2, 0, 'March');
data.setCell(3, 0, 'April');
data.setCell(4, 0, 'May');
data.setCell(5, 0, 'June');
data.setCell(6, 0, 'July');
data.setCell(7, 0, 'August');
data.setCell(8, 0, 'September');
data.setCell(9, 0, 'October');
data.setCell(10, 0, 'November');
data.setCell(11, 0, 'December');
data.setCell(0, 1, 19);
data.setCell(1, 1, 18);
data.setCell(2, 1, 20);
data.setCell(3, 1, 19);
data.setCell(4, 1, 18);
data.setCell(5, 1, 20);
data.setCell(6, 1, 19);
data.setCell(7, 1, 18);
data.setCell(8, 1, 20);
data.setCell(9, 1, 19);
data.setCell(10, 1, 18);
data.setCell(11, 1, 20);
data.setCell(0, 2, -12);
data.setCell(1, 2, -13);
data.setCell(2, 2, -11);
data.setCell(3, 2, -12);
data.setCell(4, 2, -13);
data.setCell(5, 2, -11);
data.setCell(6, 2, -12);
data.setCell(7, 2, -13);
data.setCell(8, 2, -11);
data.setCell(9, 2, -12);
data.setCell(10, 2, -13);
data.setCell(11, 2, -11);
data.setCell(0, 2, -12);
data.setCell(1, 2, -13);
data.setCell(2, 2, -11);
// Create and draw the visualization.
new google.visualization.ColumnChart(document.getElementById('visualization')).
draw(data,
{title:"S&P 500 Up/Down Performance Since 1980",
width:600, height:400,
isStacked:"true",
legend:"none" }
);
}
And the results...

Best Solution
Try escaping the % sign. I've used this to just append the % sign in the y axis.