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

Online calculator: relative percentage change

Latest calculated relative percentage increase changes

Relative percentage increase change from the original number 29,035 to the new value of 32,294 = 11.224384363699% Aug 03 08:57 UTC (GMT)
Relative percentage increase change from the original number 124,950.69 to the new value of 105,987 = - 15.176938998896% Aug 03 08:57 UTC (GMT)
Relative percentage increase change from the original number 96 to the new value of 168 = 75% Aug 03 08:56 UTC (GMT)
Relative percentage increase change from the original number 55,822 to the new value of 83,282 = 49.192074809215% Aug 03 08:56 UTC (GMT)
Relative percentage increase change from the original number 345,367 to the new value of 1,657,977 = 380.062368437054% Aug 03 08:56 UTC (GMT)
Relative percentage increase change from the original number 4,464 to the new value of 3,844 = - 13.888888888889% Aug 03 08:56 UTC (GMT)
Relative percentage increase change from the original number 14,014 to the new value of 38,064 = 171.614100185529% Aug 03 08:55 UTC (GMT)
Relative percentage increase change from the original number 1.04 to the new value of - 9 = - 965.384615384615% Aug 03 08:55 UTC (GMT)
Relative percentage increase change from the original number 473 to the new value of 1,749 = 269.767441860465% Aug 03 08:55 UTC (GMT)
Relative percentage increase change from the original number 54,761.26 to the new value of 61,176.83 = 11.715526633244% Aug 03 08:55 UTC (GMT)
Relative percentage increase change from the original number 85,000 to the new value of 105,001 = 23.530588235294% Aug 03 08:55 UTC (GMT)
Relative percentage increase change from the original number 3,564 to the new value of 4,032 = 13.131313131313% Aug 03 08:54 UTC (GMT)
Relative percentage increase change from the original number 5.88 to the new value of 12.67 = 115.47619047619% Aug 03 08:54 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.