Even more than; exceeding. Usually used after an already large number or sum. It is estimated that upwards of one million people arrived to watch the inauguration of the new president They're saying it could cost upward of $3,000 to have it repaired.
See also: of
Also, upward of. More than, in excess of, as in Upwards of 30,000 spectators filled the ballpark. [c. 1600]