In 2012, Julie's salary was £23000. In 2013, her salary was 3% lower than in 2012. In 2014, Julie was given a promotion, and her salary was 12% higher than in 2013. What is the percentage increase in Julie's salary between 2012 and 2014?
In 2013 Julie's salary was 23000 * 0.03 = £<<23000*0.03=690>>690 lower than in 2012.
So her salary in 2013 was 23000 - 690 = £<<23000-690=22310>>22310.
In 2014 Julie's salary was 22310 * 0.12 = £<<22310*0.12=2677.2>>2677.2 higher than in 2013.
So her salary in 2014 was 22310 + 2677.2 = £<<22310+2677.2=24987.2>>24987.2.
Hence the percentage increase in Julie's salary between 2012 and 2014 was (24987.2 - 23000) / 23000 * 100 = <<(24987.2-23000)/23000*100=8.61>>8.61%. Answer: \boxed{8.61}.