There are various calculation methods, RON, MON, and PON or AKI.
RON: (Research Octane Number). Most common fuel used in Europe, Australia and some other Countries. It is determined with measurements of fuel behavior in a variable compression engine. Results are compared with other iso-octane fuels, wish means, compared with other fuel types with equal number of similar octane molecules present, but not the of the same organic compound.
MON: (Motor Octane Number). Determined also with a variable compression engine, but with the fuel already preheated, variable ignition timing and higher RPMs than the RON method. This method is more precise on determining fuel behavior on an loaded engine.
PON or AKI: (Pump Octane Rating or Anti-Knock Index): This is the method used in USA and Canada, expressed as [R+M]/2, wish means RON number plus MON number, divided by 2. In other words, it is the average between both methods above.
Equivalency
So, due to the fact that RON is always from 4 to 5 points higher of its equivalent to PON or AKI, the number conversion between USA and Europe octane ratings will approximately be as follows:
USA (PON) –> Europe (RON)
87 –> 91
89 –> 93
91 –> 95
93 –> 98