Calculate relative percentage increase change from the original (reference, initial) to a new value and the absolute change (actual difference)

Online calculator relative percentage change

Latest calculated relative percentage increase changes

Relative percentage increase change from the original number 5.01 to the new value of 4 = - 20.159680638723% May 26 09:44 UTC (GMT)
Relative percentage increase change from the original number 7.91 to the new value of 11 = 39.064475347661% May 26 09:43 UTC (GMT)
Relative percentage increase change from the original number 2,200 to the new value of 1,501 = - 31.772727272727% May 26 09:42 UTC (GMT)
Relative percentage increase change from the original number 23 to the new value of 43 = 86.95652173913% May 26 09:42 UTC (GMT)
Relative percentage increase change from the original number 111.56 to the new value of 81.93 = - 26.55969881678% May 26 09:42 UTC (GMT)
Relative percentage increase change from the original number 3,462,747 to the new value of 3,028,458 = - 12.541747924408% May 26 09:42 UTC (GMT)
Relative percentage increase change from the original number 9.88 to the new value of 20 = 102.429149797571% May 26 09:42 UTC (GMT)
Relative percentage increase change from the original number 620 to the new value of 678 = 9.354838709677% May 26 09:42 UTC (GMT)
Relative percentage increase change from the original number 0.65 to the new value of 0.1 = - 84.615384615385% May 26 09:39 UTC (GMT)
Relative percentage increase change from the original number 4.9 to the new value of 5 = 2.040816326531% May 26 09:38 UTC (GMT)
Relative percentage increase change from the original number 4,100 to the new value of 4,900 = 19.512195121951% May 26 09:38 UTC (GMT)
Relative percentage increase change from the original number 1.12 to the new value of 1.12 = 0% May 26 09:37 UTC (GMT)
Relative percentage increase change from the original number 9,500 to the new value of 11,928 = 25.557894736842% May 26 09:37 UTC (GMT)
All relative percentage increase changes, calculated by users


Relative percentage change (relative percentage increase or decrease)

The absolute change (actual difference):

  • The difference between two numerical quantities, y - x, is called absolute difference, actual change or actual difference.
  • When x value is a reference value (the starting value that the value of y is compared to) then the difference between y and x is called the absolute change.
  • The actual difference (actual change) between two values is not always a good way to compare two numbers.
  • The actual change of one unit from number 8 to number 9 is of much more significance than the same difference of one unit between the much larger numbers of 9,999,998 and 9,999,999.
  • In this case we need to take into account the "size" of the quantities involved.

Relative change (from a number x to another number, y):

  • Relative change (from x to y) = (Absolute change from x to y) / |x| = (y - x) / |x|, where x is the reference value that y is being compared to and |x| is the positive value of x.
  • For values y larger than the reference value x, the relative change is a positive number, and in this case we have a so called relative increase.
  • For values y that are smaller than the reference x value, the relative change is negative and in this case we have what it's called a relative decrease.
  • The relative change is not defined if the reference value is zero, x = 0.

Relative percentage change

  • Relative percentage change is the Relative change calculated as a percentage;
  • Relative percentage change = Relative change × 100/100 = (Relative change × 100)%.

Examples of calculating the relative percentage change (increase or decrease)

  • Relative change (from 2 to 3) = (3 - 2) / |2| = 1/2 = 0.5 = 50%; this change is a relative percentage increase;
  • Relative change (from 9.999.999.998 to 9.999.999.999) = (9.999.999.999 - 9.999.999.998) / |9.999.999.998| = 1/9.999.999.998 ≈ 0 = 0%;
  • Relative change (from 2 to -3) = (-3 - 2) / |2| = -5/2 = -2.5 = -250%; this change is a relative percentage decrease;
  • Relative change (from 9.999.999.998 to -9.999.999.999) = (-9.999.999.999 - 9.999.999.998) / |9.999.999.998| = -19.999.999.997/9.999.999.998 ≈ -2 = -200%; this change is a relative percentage decrease;
  • Relative change (from -2 to 3) = (3 - (-2)) / |-2| = (3 + 2) / 2 = 5/2 = 2.5 = 250%; this change is a relative percentage increase;
  • Relative change (from -9.999.999.998 to 9.999.999.999) = (9.999.999.999 - (-9.999.999.998)) / |-9.999.999.998| = (9.999.999.999 + 9.999.999.998) / 9.999.999.998 = 19.999.999.997/9.999.999.998 ≈ 2 = 200%; this change is a relative percentage increase.