You need a step-down transformer (convert from 240 volts to 110 volts), not just one of those gizmos that you plug hair dryers and electric shavers into.
I got mine at Radio Shack about 4 years ago for $25. I used it continuously for a year to run my laptop, speakers, portable CD player, and other odds and ends of electrical stuff that I brought with me to the UK.
FWIW, my mother has one of those vintage Kitchen Aid mixers, which used to belong to my grandmother, who may have got it as a wedding present...well, no, surely it's not THAT old (she was married just after WWII) but it is certainly well-used!
My other living grandmother still uses her old one, too. And my sister got one for a wedding present. I'm so jealous...I do most of my mixing with a fork!