A work machine includes a work implement and a vehicle body including a first vehicle body portion, a mount attached to the first vehicle body portion, and a second vehicle body portion supported on the first vehicle body portion via the mount. A control system for the work machine includes a vehicle body positional sensor, a work implement positional sensor, and a controller. The vehicle body positional sensor is attached to the second vehicle body portion and outputs vehicle body position data indicative of a position of the second vehicle body portion. The work implement positional sensor is attached to the second vehicle body portion and outputs work implement position data indicative of a relative position of the work implement with respect to the second vehicle body portion. The controller calculates a position of the work implement based on the vehicle body position data and the work implement position data.