I check with Hansen Investor Relations who were helpful. The EPS of 14.7c is based on NPAT whereas the EPS of 19.4c is based on NPATA (which excludes amortization of acquired intangibles net of tax). Obviously a significant difference with the Enoro acquisition.
Many companies prefer NPATA as it more closely reflects the cash profit of the company. Amortization is a non-cash item.
I think the best summary is in the 'FY2018 Results Presentation' [ASX: 17Aug2018] on Page 5 and Page 18.
EPS of AGM presentation compared to Annual report, page-6
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