This is a little more historic then mathematical, but its fine in either subject. Back thousands of years ago, ancient civilizations first created a machine to calculate how long it took for an entire year/cycle of seasons to occur. They narrowed it down to about 365.25 days for an entire rotation around the sun. That's also why we have a leap day every 4 years, because we have that extra quarter of a year every year.
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The number of days in a month are determined by the cycles of the moon.
There are thirty days in the month of June.
There are 300 days if 30 days are in a month.
The eighth month is August which has 31 days.
31 days.