A gas turbine engine having speed an intermediate stage booster configured to provide speed change to a boost compressor. The boost compressor and fan stage are driven by a low pressure turbine; the fan stage rotates with the low pressure turbine shaft and the boost compressor rotates counter to the low pressure turbine shaft. The intermediate speed booster has an epicyclic gear train that includes an outer annulus, a sun gear, and a planetary gear, and may be engaged by a clutch in some embodiments.