This is the year-on-year percentage change in earnings per share for the last quarter (or interim period if the company reports every 6 months), versus the same period one year ago. The earnings per share figure divides the period earnings into the number of shares.
It is based on the diluted normalised EPS, which reflects the normalisation adjustments of the Reuters analysts (in the interests of comparability across the data-set). You can read more about the normalisation process here.
This figure uses weighted average of shares outstanding over the reporting period.
Earnings-per-share growth gives a good picture of the rate at which a company has grown its profitability. Stocks with higher earnings-per-share growth rates are generally more desirable than those with slower earnings-per-share growth rates.
One of the important differences vs. net-income growth rates is that EPS growth reflects the dilution that occurs from new stock issuance, the exercise of employee stock options, warrants, convertible securities, and share repurchases.