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 1,351.3 to the new value of 3,569 = 164.116036409384% Nov 18 18:43 UTC (GMT)
Relative percentage increase change from the original number 80 to the new value of 11 = - 86.25% Nov 18 18:43 UTC (GMT)
Relative percentage increase change from the original number 4,782 to the new value of 5,127 = 7.214554579674% Nov 18 18:41 UTC (GMT)
Relative percentage increase change from the original number 100 to the new value of 972 = 872% Nov 18 18:41 UTC (GMT)
Relative percentage increase change from the original number 0.125 to the new value of 0.1726 = 38.08% Nov 18 18:41 UTC (GMT)
Relative percentage increase change from the original number 14,149 to the new value of 15,790 = 11.59799279101% Nov 18 18:40 UTC (GMT)
Relative percentage increase change from the original number 2.75 to the new value of 5.25 = 90.909090909091% Nov 18 18:39 UTC (GMT)
Relative percentage increase change from the original number 0.0004771 to the new value of 2 = 419,099.32928107315% Nov 18 18:38 UTC (GMT)
Relative percentage increase change from the original number 355 to the new value of 320 = - 9.859154929577% Nov 18 18:38 UTC (GMT)
Relative percentage increase change from the original number 0.99 to the new value of - 43 = - 4,443.434343434343% Nov 18 18:38 UTC (GMT)
Relative percentage increase change from the original number 295 to the new value of 220 = - 25.423728813559% Nov 18 18:38 UTC (GMT)
Relative percentage increase change from the original number 4,867 to the new value of 5,358 = 10.088350113006% Nov 18 18:38 UTC (GMT)
Relative percentage increase change from the original number 66.9 to the new value of 89 = 33.034379671151% Nov 18 18:37 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.