First compute the velocity of the earth in its orbit
V = 2 pi R/P
where P is the period of the orbit in seconds, and R = 1.4960*10^11 m
You can now solve for the sun's mass. M, by setting the gravity force equal to the centripetal force.
The astronomical unit (AU, equal to the mean radius of the Earth’s orbit) is 1.4960E11 m, and a year is 3.1557E7 s. Newton’s gravitational constant is G=6.6743E-11 m^3kg^-1s^-2. Calculate the mass of the Sun in kilograms. (Recalling or looking up the mass of the Sun does not constitute a solution of this problem.)
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