Calculate the relative percentage increase (percentage change), from the original (refference) to the new value and the absolute change (actual difference).

Online calculator relative percentage change

Latest calculated relative percentage increase changes

Relative percentage change from the original number 25.4 to new value 39.5 = 55.511811023622% Jul 20 12:27 UTC (GMT)
Relative percentage change from the original number 92 to new value 89 = - 3.260869565217% Jul 20 12:24 UTC (GMT)
Relative percentage change from the original number 52 to new value 46 = - 11.538461538462% Jul 20 12:23 UTC (GMT)
Relative percentage change from the original number 34,700,416 to new value 37,583,254 = 8.30779089219% Jul 20 12:23 UTC (GMT)
Relative percentage change from the original number 0.85 to new value 0.97 = 14.117647058824% Jul 20 12:23 UTC (GMT)
Relative percentage change from the original number 19,329 to new value 18,323 = - 5.204614827461% Jul 20 12:22 UTC (GMT)
Relative percentage change from the original number 273 to new value 260 = - 4.761904761905% Jul 20 12:21 UTC (GMT)
Relative percentage change from the original number 1,740 to new value 2,680 = 54.022988505747% Jul 20 12:21 UTC (GMT)
Relative percentage change from the original number 89,000 to new value 320,000 = 259.550561797753% Jul 20 12:19 UTC (GMT)
Relative percentage change from the original number 118,581.7 to new value 180,013.5 = 51.805464080883% Jul 20 12:19 UTC (GMT)
Relative percentage change from the original number 1,375 to new value 2,240 = 62.909090909091% Jul 20 12:17 UTC (GMT)
Relative percentage change from the original number 56.7 to new value 84.4 = 48.853615520282% Jul 20 12:16 UTC (GMT)
Relative percentage change from the original number 17.22 to new value 4.49 = - 73.925667828107% Jul 20 12:15 UTC (GMT)
All relative percentage increase changes, calculated by users


Relative percentage change (increase or decrease)

Absolute change (actual difference):

The difference between two numerical quantities, x - y, is called the absolute difference or actual change or actual difference. When y value is a refference value (starting value, the value that x is compared to) then the difference between x and y is called the absolute change.

Relative (percentage) change (increase or decrease)

The actual difference or the actual change between two values is not always a good way to compare two numbers. The actual change of one unit between numbers 3 and 2 is much more significant than the same difference of one unit between the much bigger numbers 9,999,999,999 and 9,999,999,998.

In this case we need to take into account the "size" of the quantities involved.

Relative change (x; y)

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

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

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