A balance having a setting means with which the relative precision of the weighing result is to be determined can be set by the user. The balance then adapts automatically to the set relative precision. This adaptation can occur, e.g., in the number of positions displayed, in the step width in the last particular position, in the selection of the integration time, in the filtering of the measured values in the digital signal processing unit, in the frequency of the taking over of the measured value into the display and/or at the time of the emission of the standstill signal or of the measured value release signal.