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              How to Calculate Percentage Change 
                                 
What is percentage change? 

       Percentage change (or percent change) measures the difference in value using percentages.  

 

How is percentage change used in Extension? 

       Percent change is one means of demonstrating program impact or conveying the magnitude of a 
        change. It shows the difference between the after vs. before values. Percentage change can be 
        positive or negative. Numbers (frequency counts) are typically used in the formula but 
        percentages can be as well. 

 

How do you calculate percentage change? 

       ((after value – before value) / before value) * 100 = % change. 
     
        Simply subtract the before value from the after value; then divide by the before value. 
        Multiply the result by 100. Add a % sign and that is your percentage change. 

 

Example 1 (using frequency counts): 

        Using state records, an FCS agent found that 25 teens were killed in vehicle related accidents in 
        her county in 2008 compared to 17 in 2007. The percent change is ((25 – 17)/17) * 100 = 47.1%. 
        In writing about the relevance of a new teen driver safety educational program, the agent writes 
        “there was a 47.1% increase in the number of teens killed in vehicle‐related accidents in 2008 
        compared to 2007.”  
 
Example 2 (Unmatched Pre‐Post Surveys): 

       Using pre‐post surveys without matching ids, an AG/NR agent found that 37 of 115 program 
        participants (32.2%) correctly answered a knowledge question about range management on the 
        pretest. After the program, 78 of 102 participants (76.5%) answered the same question 
        correctly. The percentage change in “percentage correct” is ((76.5 – 32.2) / 32.2) * 100 = 
        137.6%.   
         
        Using frequencies with this example, the percentage change in the number of participants 
        answering the question correctly is ((78 – 37)/37) * 100) = 110.8%. But since the number of 
        participants responding to the pretest and posttest were somewhat different, using percentages 
        in the formula provides a more precise measure of the after vs. before change in value. 

        Note that percent change is NOT the simple difference between the two percentages  
        (i.e., 76.5% ‐ 32.2% = 44.3%).  

 

Example 3 (Matched Pre‐Post Surveys): 

       Let’s suppose that the agent in Example 2 used matched ids – and of the 115 pretests and 102 
        posttests, the agent was able to match a pre and post test for 98 of the participants. Further, for 
        these 98 participants, 35 answered the question correctly on the pretest while 77 answered it 
        correctly on the posttest. The percentage change is ((76 – 35) / 76) * 100 = 117.1%.  If one has 
        matching ids in a pre‐post situation, it always makes more sense to use frequencies in the 
        formula – using just those surveys with a match. 

 
 

Author: Paul Pope 
Last update: June 5, 2008 

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How to-calculate-percent-change

  • 1.         Evaluation & Accountability Collaborative  Quick Tip Series for Extension Faculty Conducting Evaluations    How to Calculate Percentage Change    What is percentage change?   Percentage change (or percent change) measures the difference in value using percentages.     How is percentage change used in Extension?   Percent change is one means of demonstrating program impact or conveying the magnitude of a  change. It shows the difference between the after vs. before values. Percentage change can be  positive or negative. Numbers (frequency counts) are typically used in the formula but  percentages can be as well.    How do you calculate percentage change?   ((after value – before value) / before value) * 100 = % change.      Simply subtract the before value from the after value; then divide by the before value.    Multiply the result by 100. Add a % sign and that is your percentage change.    Example 1 (using frequency counts):    Using state records, an FCS agent found that 25 teens were killed in vehicle related accidents in    her county in 2008 compared to 17 in 2007. The percent change is ((25 – 17)/17) * 100 = 47.1%.    In writing about the relevance of a new teen driver safety educational program, the agent writes    “there was a 47.1% increase in the number of teens killed in vehicle‐related accidents in 2008    compared to 2007.”    
  • 2. Example 2 (Unmatched Pre‐Post Surveys):   Using pre‐post surveys without matching ids, an AG/NR agent found that 37 of 115 program  participants (32.2%) correctly answered a knowledge question about range management on the  pretest. After the program, 78 of 102 participants (76.5%) answered the same question  correctly. The percentage change in “percentage correct” is ((76.5 – 32.2) / 32.2) * 100 =  137.6%.      Using frequencies with this example, the percentage change in the number of participants  answering the question correctly is ((78 – 37)/37) * 100) = 110.8%. But since the number of  participants responding to the pretest and posttest were somewhat different, using percentages  in the formula provides a more precise measure of the after vs. before change in value.  Note that percent change is NOT the simple difference between the two percentages   (i.e., 76.5% ‐ 32.2% = 44.3%).     Example 3 (Matched Pre‐Post Surveys):   Let’s suppose that the agent in Example 2 used matched ids – and of the 115 pretests and 102  posttests, the agent was able to match a pre and post test for 98 of the participants. Further, for  these 98 participants, 35 answered the question correctly on the pretest while 77 answered it  correctly on the posttest. The percentage change is ((76 – 35) / 76) * 100 = 117.1%.  If one has  matching ids in a pre‐post situation, it always makes more sense to use frequencies in the  formula – using just those surveys with a match.      Author: Paul Pope  Last update: June 5, 2008