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 187 to the new value of 196.36 = 5.005347593583% Feb 22 18:49 UTC (GMT)
Relative percentage increase change from the original number 224 to the new value of 231 = 3.125% Feb 22 18:49 UTC (GMT)
Relative percentage increase change from the original number 11,460,142 to the new value of 17,641,619 = 53.938921524707% Feb 22 18:48 UTC (GMT)
Relative percentage increase change from the original number 77 to the new value of 64 = - 16.883116883117% Feb 22 18:48 UTC (GMT)
Relative percentage increase change from the original number 2,299,890 to the new value of 1,728,690 = - 24.835970415976% Feb 22 18:47 UTC (GMT)
Relative percentage increase change from the original number 134.87 to the new value of 172.7 = 28.04923259435% Feb 22 18:47 UTC (GMT)
Relative percentage increase change from the original number 267 to the new value of 42 = - 84.269662921348% Feb 22 18:47 UTC (GMT)
Relative percentage increase change from the original number 14,200 to the new value of 18,999 = 33.795774647887% Feb 22 18:47 UTC (GMT)
Relative percentage increase change from the original number 5,914 to the new value of 6,176 = 4.430165708488% Feb 22 18:46 UTC (GMT)
Relative percentage increase change from the original number 3,416.67 to the new value of 3,502.9 = 2.523802415803% Feb 22 18:44 UTC (GMT)
Relative percentage increase change from the original number 125 to the new value of 325 = 160% Feb 22 18:44 UTC (GMT)
Relative percentage increase change from the original number 55,115.17 to the new value of 77,810.6 = 41.17819104976% Feb 22 18:44 UTC (GMT)
Relative percentage increase change from the original number 21 to the new value of - 14 = - 166.666666666667% Feb 22 18:44 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.