The weighted grade is equal to the sum of the product of the weights (w) in percent (%) times the grade (g):

*Weighted grade* = *w*_{1}×*g*_{1}+* w*_{2}×*g*_{2}+* w*_{3}×*g*_{3}+...

Math course with grade of 80 and weight of 30%.

Biology course with grade of 90 and weight of 50%.

History course with grade of 72 and weight of 20%.

The weighted average grade is calculated by:

*Weighted grade =*

= *w*_{1}×*g*_{1}+* w*_{2}×*g*_{2}+* w*_{3}×*g*_{3}

= 30%×80+ 50%×90+ 20%×72 = 83.4

When the weights are not in percent (hours or points...), you should also divided by the sum of the weights:

*Weighted grade* = (*w*_{1}×*g*_{1}+* w*_{2}×*g*_{2}+* w*_{3}×*g*_{3}+...) / (*w*_{1}+*w*_{2}+*w*_{3}+...)

3 points Math course with grade of 80.

5 points Biology course with grade of 90.

2 points History course with grade of 72.

The weighted average grade is calculated by:

*Weighted grade =*

= (*w*_{1}×*g*_{1}+* w*_{2}×*g*_{2}+* w*_{3}×*g*_{3}) / (*w*_{1}+*w*_{2}+*w*_{3})

= (3×80+ 5×90+ 2×72) / (3+5+2) = 83.4