Methods of preparing a second high-efficiency, rhenium-promoted silver catalyst for producing alkylene oxide from an alkylene based on a first catalyst are disclosed and described. In accordance with the disclosed methods, the first and second catalysts include at least one promoter that includes a rhenium promoter. The target catalyst concentrations of one or more promoters of the at least one promoter on the second catalyst are determined based on the values of a catalyst reference property for the two catalysts and the concentration of the one or more promoters of the at least one promoter on the first catalyst. Suitable catalyst reference properties include carrier specific surface area and silver specific surface area. Reaction systems utilizing the first and second catalysts are also described.