Australia’s most populous state, New South Wales (NSW), is now entirely in drought, officials have confirmed.

A dry winter has intensified what has been called the worst drought in living memory in parts of eastern Australia.

NSW produces about a quarter of Australia’s agricultural output. It was officially listed as “100% in drought” on Wednesday.

The state and federal governments have provided A$576m (£330m; $430m) in emergency relief funding.

“There isn’t a person in the state that isn’t hoping to see some rain for our farmers and regional communities,” said NSW Minister for Primary Industries Niall Blair.

Southern Australia has just experienced its second-driest autumn on record, according to the Bureau of Meteorology, with rainfall 57mm (2.24in) below average.

Less than 10mm of rain was recorded in parts of NSW in July, and drier than normal conditions are forecast in coming months.

On Wednesday, officials said 23% of NSW was classified as being in “intense drought”, with the remainder in drought or drought-affected.

But the problem is not confined to NSW – more than half of neighbouring Queensland is in drought. Parts of Victoria and South Australia are also experiencing dry conditions.

Farmers are already eligible for annual relief payments of up to A$16,000 each. Earlier this week, Mr Turnbull announced additional payments of up to A$12,000.

The prime minister said that although drought was considered “part of the Australian climate”, farmers needed help.

“What we have to is make sure we [the government] back them in when the times get as tough as they are now,” he told the Australian Broadcasting Corporation earlier this week.

However, some have criticised the measure as “too little, too late” and too onerous to claim. Almost 20,000 eligible people are yet to apply for the grant.