A method of estimating a water extraction profile in a laundry treating appliance includes accelerating rotation of the drum during a water extraction cycle, determining, during the accelerating rotation, a torque of the motor, an acceleration of the drum, a speed of the drum, and/or an angular position of the drum, and estimating with a parameter estimator, at multiple times during the accelerating rotation, inertia of a laundry load, based on the torque, acceleration, speed, and/or angular position of the drum to establish multiple inertia values. A water extraction profile is then estimated based on the inertia values.