This site provides a tool to count the number of any selected day of the week over an entire year. You can pick any year and find out things like the number of Saturdays in 2018.
Don't forget to check out the other date calculator tools available on the site, like the Days From Today calculator that helps you find the date occurring exactly X days from now. Or if you're trying to count the total number of days between two dates, you can use the Date Difference calculator.
Today is Wednesday, September 19th, 2018. It is the 262nd day of the year, and in the 38th week of the year (assuming each week starts on a Sunday). There are 30 days in this month. 2018 is not a leap year, so there are 365 days in this year.