Water Consumption Comparison

A research team was investigating the average daily water consumption of two different populations: Residents of City X and Residents of City Y. The study collected data over a year, and the results were analyzed as follows:

• City X: For the year, the average daily water consumption was modeled by the function $W_X(d) = 0.5d + 150$, where $d$ represents the day of the year (1 to 365).
• City Y: The average daily water consumption was determined to be a constant 270 liters throughout the year.

On which day of the year does the average daily water consumption of City X surpass that of City Y?