Assuming you have dual primaries on your component, i.e. 2 110v primaries connected in series for their present use, but could be reconnected to 220v by connecting in series, this is by far the simplest way to go.
If you lack those dual primaries, and don't (or can't) want to replace the power transformer the best course would be to use a step up transformer to take your mains power from 115vac to 230vac. Note that most of what is advertised on Ebay (and elsewhere) as step up transformers are in reality autotransformers, which lack noise attenuation capabilities. An ideal transformer for this task would be a 'World Power' 175 va transformer with dual 115 primaries and dual 115 secondaries. These are made by a number of vendors -
Signal A41-175-230
Triad VPS230-760
Hammond 185G230
about $41 from Mouser or Digikey. The hammond is also available from Partsconnexion.com
Connect the dual primaries in parallel for 115vac input, connect the dual secondaries in series to output 230vac and ground the secondary's center tap to your mains ground and you've got a balanced step up transformer.
Put an appropriate .47uf cap accross the inputs and bypass as appropriate. Similarly put a .47uf accross the output, or 2 .1uf caps accross the output lines, 1 from each output line to ground, bypassing as appropriate.
This will give you a very good powerconditioner, and markedly increase your audiophile pleasure.
If the explanation isn't clear to you and/or you're not comfortable with appropriate safety precautions, don't attempt it as mains voltage can be leathal.