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 352 to the new value of 282 = - 19.886363636364% Sep 26 14:30 UTC (GMT)
Relative percentage change from the original number 83.8 to the new value of 127.5 = 52.147971360382% Sep 26 14:28 UTC (GMT)
Relative percentage change from the original number 26,000 to the new value of 34,000 = 30.769230769231% Sep 26 14:27 UTC (GMT)
Relative percentage change from the original number 2,791,432 to the new value of 3,826,481 = 37.079498981168% Sep 26 14:14 UTC (GMT)
Relative percentage change from the original number 225 to the new value of 357 = 58.666666666667% Sep 26 14:14 UTC (GMT)
Relative percentage change from the original number 6 to the new value of 3 = - 50% Sep 26 14:14 UTC (GMT)
Relative percentage change from the original number 811 to the new value of 1,687 = 108.014796547472% Sep 26 14:14 UTC (GMT)
Relative percentage change from the original number 0.00000092 to the new value of 0.00000082 = - 10.869565217391% Sep 26 14:14 UTC (GMT)
Relative percentage change from the original number 104 to the new value of 86 = - 17.307692307692% Sep 26 14:09 UTC (GMT)
Relative percentage change from the original number 77,007 to the new value of - 787 = - 101.021985014349% Sep 26 14:08 UTC (GMT)
Relative percentage change from the original number 0.00000092 to the new value of 0.00000082 = - 10.869565217391% Sep 26 14:06 UTC (GMT)
Relative percentage change from the original number 225 to the new value of 357 = 58.666666666667% Sep 26 14:03 UTC (GMT)
Relative percentage change from the original number 3 to the new value of 243 = 8,000% Sep 26 14:00 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 absolute difference, actual change or actual difference. When y value is a refference value (the starting value that the value 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 of much more significance than the same difference (of one unit) between the much larger 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, and in this case we have a relative increase.
  • For values x that are smaller than the reference y value, the relative change is negative, and 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.