The incident unfolded at around 1 am local time on October 15, when police received an emergency call from Closs' home.
"Jayme is safe!" Barron County Sheriff Chris Fitzgerald said.
"I know all of you are searching for the answer why any of this happened", Fitzgerald said.
Police always said they believed Jayme was still alive.
With Jayme, the nation knows her, her captor and will learn of any charges.
Investigators are trying to determine how Jayme escaped from Patterson's home, Fitzgerald said.
Almost three years ago, Patterson worked for one day at the same meat products facility where Jayme's parents also worked - the Jennie-O Turkey Store plant in Barron - the company's president said. Neighbour Daphne Ronning told the Milwaukee Journal Sentinel that the parents moved away but that Patterson and his older brother, Erik, continued to stay in the cabin.
Fitzgerald said he was not yet aware of any plans for a community gathering to welcome Jayme home.
The grandfather of Jayme Closs, who authorities say was abducted during a home invasion that left her parents dead said on Saturday that the family has no connection to the suspect and doesn't understand why he targeted her, deepening a mystery that has captivated the United States for months.
Kate Raddatz spoke with a victim specialist at the Jacob Wetterling Resource Center to find out why Jayme's case is so meaningful.
She said she and her husband once caught them siphoning gas. A 911 call was placed from Denise Closs's cell phone.
The girl's name rose to the top of the FBI's missing persons list, and authorities offered a US$50,000 reward for information leading to her recovery.
Jayme was skinny, dishevelled and wearing shoes too big for her when she approached a stranger and pleaded for help on Thursday in the isolated town of Gordon, about 100 km north from her hometown of Barron.
Kristin Kasinskas told CNN that Jayme told them that she had been held captive not far away. "[Jayme] don't know him from Adam".
"She said to us that, 'This person killed my parents and took me, '" Kasinskas said.
"It appears he concealed her from other people. his friends", Fitzgerald said. "She did not go into detail about how she got out of the house or anything like that".
When they arrived, Kasinskas fed Jayme while they waited around half an hour for the police to arrive, Kasinskas told MPR.
Less than 15 minutes later, Jake Patterson, 21, was in custody after police pulled over his vehicle, based on Closs' description. Police say he was out on the streets looking for Jayme after she escaped. He said there is no evidence Patterson knew Jayme or her family or had been in contact with her on social media.
Patterson was not at home when Jayme escaped, the sheriff added.
The young girl was rescued Thursday walking down a road in a rural area in northwestern Wisconsin after she fled a home where law enforcement says she was kept by Jake Thomas Patterson, 21.
Jayme's aunt, Sue Allard, told the Star Tribune: "It's the news we've been waiting on for three months".
She was released from the hospital Friday and was reunited with her aunt in Barron, Wisconsin, and her dog, Molly.
"She is doing great", Barron County Sheriff Chris Fitzgerald told "Anderson Cooper Full Circle".