BERLIN, June 3 Reuters The downturn in Germany39;s manufacturing sector, which accounts for about a fifth of Europe39;s biggest economy, showed signs of bottoming out in May as output and new orders declined at a much slower pace than the month before, a survey showed on Monday.

The HCOB final Purchasing Managers39; Index PMI for German manufacturing rose to 45.4 in May from 42.5 in April, confirming a preliminary flash estimate and still below the 50 level that marks growth in activity.

The main boost came from new orders, which posted the weakest decline in two years in May, while the fall in output also softened to its slowest rate in more than a year.

While not yet at an ideal point, there are signs of a turnaround, said Cyrus de la Rubia, chief economist at Hamburg Commercial Bank.

New orders are still declining, but it looks like we could see an increase in demand in the coming months after more than two years of drought, he added.

This aligns with an accelerated decline in inventory levels, de la Rubia said, suggesting many firms had underestimated demand and had to draw from their stocks of finished products and intermediate goods.

Additionally, the fact that delivery times are not shortening as quickly as in the previous two months suggests a less severe demand situation, he added.

Although firms continued to show a willingness to reduce staff, indicating a lack of pressure on operating capacity, for an 11th consecutive month, optimism about growth…