Most equipment won't know the difference. I had a european Ayon amp that has a "phase" light on it to tell you if the plug is reversed. The light lights up on US power but it works fine. I got ahold of a european style transformer and it didn't change anything other than the light went out.
TRANSFORMER CAUTION: Before you buy an expensive transfomer, I learned that many transformers that say they are made to run European equipment do not provide Euro convention power. Instead of providing 230/240V and a neutral, they provide two 120V legs that are phased to be 240V to each other. In other words, they provide US convention power. Disappointing. I returned 3 or 4 transformers before I found one that was true Euro power and caused the phase light to go off.
If you do go with a transformer, make sure it is oversized.
Jerry