KC newspaper tells a different story.
http://www.kansascity.com/news/government-politics/article673701.html
According to documents provided by his Department of Revenue, Brownback was actually told on “day one” that he faced a deficit of just $60 million in six months.
A $492 million deficit was predicted for 18 months later — June 30, 2012, the end of the 2012 fiscal year. The end of the federal stimulus program caused a cash crunch in Kansas and most other states.
On July 2, Brownback clarified his statement in an email to The Star.
“After taking office in January 2011, I was presented with an FY 2012 budget which … had a projected deficit of $500 million if the administration took no action,” he said, a much clearer description of what actually happened.
(Lots more at the link, including how he raised sales tax, property taxes by more than $300M, the state had $500M in the bank in May 2013, spending increased from $5B to $6B, etc.)