Calculate total percent change from incremental changes












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$begingroup$


Is there a formula to calculate a total percent change of a value from multiple changes?



Example:



Initial: 100
-10%: 90
+5%: 94.5
-20%: 75.6


So I am looking for some formulaic way of taking the initial value of 100 and the changes of -10%,+5%, and -20% and giving me 75.6.










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$endgroup$

















    0












    $begingroup$


    Is there a formula to calculate a total percent change of a value from multiple changes?



    Example:



    Initial: 100
    -10%: 90
    +5%: 94.5
    -20%: 75.6


    So I am looking for some formulaic way of taking the initial value of 100 and the changes of -10%,+5%, and -20% and giving me 75.6.










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      Is there a formula to calculate a total percent change of a value from multiple changes?



      Example:



      Initial: 100
      -10%: 90
      +5%: 94.5
      -20%: 75.6


      So I am looking for some formulaic way of taking the initial value of 100 and the changes of -10%,+5%, and -20% and giving me 75.6.










      share|cite|improve this question









      $endgroup$




      Is there a formula to calculate a total percent change of a value from multiple changes?



      Example:



      Initial: 100
      -10%: 90
      +5%: 94.5
      -20%: 75.6


      So I am looking for some formulaic way of taking the initial value of 100 and the changes of -10%,+5%, and -20% and giving me 75.6.







      percentages






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      asked Jan 5 at 1:11









      The NightmanThe Nightman

      1366




      1366






















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          $begingroup$

          Multiply all of the percent changes together as decimals i.e. 0.9*1.05*0.8 for your example and then multiply this number by the original value.






          share|cite|improve this answer









          $endgroup$














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            1 Answer
            1






            active

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            active

            oldest

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            active

            oldest

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            3












            $begingroup$

            Multiply all of the percent changes together as decimals i.e. 0.9*1.05*0.8 for your example and then multiply this number by the original value.






            share|cite|improve this answer









            $endgroup$


















              3












              $begingroup$

              Multiply all of the percent changes together as decimals i.e. 0.9*1.05*0.8 for your example and then multiply this number by the original value.






              share|cite|improve this answer









              $endgroup$
















                3












                3








                3





                $begingroup$

                Multiply all of the percent changes together as decimals i.e. 0.9*1.05*0.8 for your example and then multiply this number by the original value.






                share|cite|improve this answer









                $endgroup$



                Multiply all of the percent changes together as decimals i.e. 0.9*1.05*0.8 for your example and then multiply this number by the original value.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Jan 5 at 1:25









                Peter ForemanPeter Foreman

                5,8141317




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