Quick answer: day rate = yearly salary / working days. 65,000 / 260 days is 250 a day, or 31.25 an hour at 8 hours.
Working days in a year
52 weeks x 5 days = 260. A real year has 260 to 262 weekdays, and about 250 after federal holidays. Salaried day rates for prorating often use 260.
For a full freelance rate that covers costs and unbillable time, use the contractor rate calculator.
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Questions
What is my day rate on a 50,000 salary?
About 192.31 at 260 working days (50,000 / 260).
Should a contractor day rate equal the salaried day rate?
No. Contractors bill fewer days and pay their own costs, so their day rate is usually well above salary / 260. See the contractor rate calculator.