A hydraulic system for a working machine includes a traveling motor to output power to a traveling device in the working machine, a first detector to detect a physical quantity that changes in accordance with a traveling state of the working machine and that is detected at intervals of a predetermined period, and a controller to execute automatic shift-down to automatically reduce a rotational speed of the traveling motor to a first speed stage when the rotational speed of the traveling motor is in a second speed stage higher than the first speed stage. The controller is configured or programmed to determine a tendency or degree of change in the physical quantity, based on values of the physical quantity detected at intervals of the predetermined period by the first detector.