The cost of utilities varies by country and type of property (you will pay more if you rent a flat than if you rent a bedroom in a shared apartment). If you are renting a shared apartment, the bills will be normally equally divided among everyone living there.
Nevertheless bear in mind that the amount may vary depending on the landlord policies or on how many people are living at the property at any given time, the time of the year and the type of property.
You can have a pretty good idea of how much you’ll spend by doing some research online. You should look up the price of electricity, water, gas, and Internet in the city you are moving to as well.