Combined Percentage Calculator

Formula

The formula to calculate the Combined Percentage is:

\[ CP = \frac{(P1 \times W1) + (P2 \times W2)}{W1 + W2} \]

Where:

\( CP \) is the combined percentage
\( P1 \) is the first percentage
\( P2 \) is the second percentage
\( W1 \) is the weight for the first percentage
\( W2 \) is the weight for the second percentage

What is a Combined Percentage?

A combined percentage is a weighted average of two or more percentages. It is used to find a single percentage that represents the relative importance of different percentages with different weights. This is commonly used in academic grading, financial analysis, and other areas where different percentages contribute to a final outcome based on their significance.

Example Calculation

Let's assume the following values:

First Percentage (P1): 85%
Weight for First Percentage (W1): 3
Second Percentage (P2): 90%
Weight for Second Percentage (W2): 2

Step 1: Calculate the Combined Percentage:

\[ CP = \frac{(85 \times 3) + (90 \times 2)}{3 + 2} = \frac{(255) + (180)}{5} = \frac{435}{5} = 87\% \]

Therefore, the combined percentage is 87%.