16 . leases the company's executive offices and those related to certain domestic product development , marketing , production and administration are located in a 107000 square foot office facility in canonsburg , pennsylvania . in may 2004 , the company entered into the first amendment to its existing lease agreement on this facility , effective january 1 , 2004 . the lease was extended from its original period to a period through 2014 . the company incurred lease rental expense related to this facility of $ 1.3 million in each of the years ended december 31 , 2012 , 2011 and 2010 . the future minimum lease payments are $ 1.4 million per annum from january 1 , 2013 through december 31 , 2014 . on september 14 , 2012 , the company entered into a lease agreement for 186000 square feet of rentable space to be located in a to-be-built office facility in canonsburg , pennsylvania , which will serve as the company's new headquarters . the lease was effective as of september 14 , 2012 , but because the leased premises are to-be-built , the company will not be obligated to pay rent until the later of ( i ) three months following the date that the leased premises are delivered to ansys , which delivery , subject to certain limited exceptions , shall occur no later than october 1 , 2014 , or ( ii ) january 1 , 2015 ( such later date , the 201ccommencement date 201d ) . the term of the lease is 183 months , beginning on the commencement date . absent the exercise of options in the lease for additional rentable space or early lease termination , the company's base rent will be $ 4.3 million per annum for the first five years of the lease term , $ 4.5 million per annum for years six through ten and $ 4.7 million for years eleven through fifteen . as part of the acquisition of apache on august 1 , 2011 , the company acquired certain leased office property , including executive offices , which comprise a 52000 square foot office facility in san jose , california . in june 2012 , the company entered into a new lease for this property , with the lease term commencing july 1 , 2012 and ending june 30 , 2022 . total remaining minimum payments under the operating lease as of december 31 , 2012 are $ 9.2 million , of which $ 0.9 million will be paid in 2013 . the company has entered into various other noncancellable operating leases for office space . office space lease expense totaled $ 13.7 million , $ 12.8 million and $ 11.5 million for the years ended december 31 , 2012 , 2011 and 2010 , respectively . future minimum lease payments under noncancellable operating leases for office space in effect at december 31 , 2012 are $ 12.6 million in 2013 , $ 10.7 million in 2014 , $ 10.0 million in 2015 , $ 8.2 million in 2016 and $ 7.4 million in 2017 . 17 . royalty agreements the company has entered into various renewable , nonexclusive license agreements under which the company has been granted access to the licensor 2019s technology and the right to sell the technology in the company 2019s product line . royalties are payable to developers of the software at various rates and amounts , which generally are based upon unit sales or revenue . royalty fees are reported in cost of goods sold and were $ 9.3 million , $ 8.4 million and $ 6.8 million for the years ended december 31 , 2012 , 2011 and 2010 , respectively . 18 . geographic information revenue to external customers is attributed to individual countries based upon the location of the customer . revenue by geographic area is as follows: .

• ( in thousands ), year ended december 31 , 2012, year ended december 31 , 2011, year ended december 31 , 2010
• united states, $ 265436, $ 215924, $ 188649
• japan, 122437, 112171, 95498
• germany, 82008, 72301, 60399
• canada, 12384, 12069, 9875
• other european, 177069, 166551, 138157
• other international, 138684, 112433, 87658
• total revenue, $ 798018, $ 691449, $ 580236

table of contents .

Question: what was the percentage change in the royalty fees are reported in cost of goods sold from 2011 to 2012
Program: subtract(9.3, 8.4), add(#0, 8.4)
Answer: 9.3