Math

How to calculate grades with percentages

Calculate test percentages and weighted final grades with clear formulas and examples.

By Calculadoras.Tools Published 5 min read

Percentage score on a test

Divide the points earned by the points available, then multiply by 100:

percentage score = points earned / total points x 100

Scoring 42 out of 50 gives 42 / 50 x 100 = 84%.

Weighted final grade

When assignments have different weights, multiply every grade by its decimal weight and add the results:

final grade = grade 1 x weight 1 + grade 2 x weight 2 + ...

Suppose exams count for 60%, homework for 25% and a project for 15%:

85 x 0.60 + 92 x 0.25 + 80 x 0.15 = 86

The final grade is 86%. The weights must add to 100%; otherwise, normalize them or confirm that a category is missing.

Common mistakes

  • Dividing total points by earned points instead of the reverse.
  • Using 60 instead of 0.60 as a weight.
  • Averaging category grades without applying their weights.
  • Mixing points and percentages in the same calculation.
  • Rounding every component before finding the final result.

Use the percentage calculator for a single score, or the weighted grade calculator when several categories contribute to the final grade.

Frequently asked questions

How do I convert a score to a percentage?

Divide the score earned by the maximum score and multiply by 100.

Do weighted grades have to total 100%?

Normally, yes. If they do not, check the syllabus or divide each weight by the sum of all weights before calculating.