Markit Economics said the output index for Ireland reached a 77-month high in August at 57.6.
The index indicates growth with figures above the neutral level of 50.
Markit said its final estimate of the eurozone's composite output index came to 51.5 in August, slightly below the flash estimate of 51.7.
Germany's all-sector output index for August came to 53.5, a 7-month high. The reading for Spain was 50.8, a 28-month high. For Italy, the reading of 50.3 is a 27-month high. In France, the reading of 48.8 was a two-month low, Markit said.
Markit Economics said the purchasing managers index for service-oriented businesses in the eurozone came to 50.7, slightly below the flash estimate of 51, but higher than July's level of 49.8.
it said the composite PMI rose for the fifth consecutive month and has remained in positive territory for two months "in contrast to declining business levels over the prior 17 months."
"The eurozone recovery is looking increasingly broad-based, with more sectors and more countries emerging from recession," Markit Chief Economist Chris Williamson said in a statement.
"Service sector companies reported the first increase in business activity for a year and a half in August, which follows news from the manufacturing PMI that goods production is now growing at the
fastest pace for over two years. Encouragingly, domestic demand is starting to pick up within the euro area, with the region's retail PMI also moving into positive territory for the first time in over two years in August," he said.
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