Calculate relative percentage increase change from the original (refference, 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 43,265 to the new value of 29,843 = - 31.022766670519% Jan 17 20:08 UTC (GMT)
Relative percentage increase change from the original number 456,061 to the new value of 827,997 = 81.554002644383% Jan 17 20:08 UTC (GMT)
Relative percentage increase change from the original number 2.731 to the new value of 3,414 = 124,909.154155986818% Jan 17 20:08 UTC (GMT)
Relative percentage increase change from the original number 2,897,938 to the new value of 16,636,280 = 474.07301329428% Jan 17 20:08 UTC (GMT)
Relative percentage increase change from the original number 4 to the new value of 0 = - 100% Jan 17 20:07 UTC (GMT)
Relative percentage increase change from the original number 325 to the new value of 485 = 49.230769230769% Jan 17 20:07 UTC (GMT)
Relative percentage increase change from the original number 598 to the new value of 484 = - 19.063545150502% Jan 17 20:06 UTC (GMT)
Relative percentage increase change from the original number 520 to the new value of 567 = 9.038461538462% Jan 17 20:06 UTC (GMT)
Relative percentage increase change from the original number 4.24 to the new value of 5.68 = 33.962264150943% Jan 17 20:06 UTC (GMT)
Relative percentage increase change from the original number 6,950 to the new value of 9,001 = 29.510791366906% Jan 17 20:06 UTC (GMT)
Relative percentage increase change from the original number 170 to the new value of 128 = - 24.705882352941% Jan 17 20:06 UTC (GMT)
Relative percentage increase change from the original number 66,100 to the new value of 70,500 = 6.656580937973% Jan 17 20:06 UTC (GMT)
Relative percentage increase change from the original number 640 to the new value of 208 = - 67.5% Jan 17 20:06 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.