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

Online calculator relative percentage decrease

Latest calculated relative percentage decrease operations

Relative percentage decrease from the original number 240 to new value 200 = 16.666666666667% Jul 20 12:26 UTC (GMT)
Relative percentage decrease from the original number 206 to new value 194 = 5.825242718447% Jul 20 12:24 UTC (GMT)
Relative percentage decrease from the original number 1 to new value 2 = - 100% Jul 20 12:24 UTC (GMT)
Relative percentage decrease from the original number 59 to new value 43 = 27.118644067797% Jul 20 12:23 UTC (GMT)
Relative percentage decrease from the original number 42 to new value 37 = 11.904761904762% Jul 20 12:21 UTC (GMT)
Relative percentage decrease from the original number 409,245 to new value 309,110 = 24.468228078535% Jul 20 12:19 UTC (GMT)
Relative percentage decrease from the original number 68 to new value 13 = 80.882352941176% Jul 20 11:56 UTC (GMT)
Relative percentage decrease from the original number 28.47 to new value 7.57 = 73.410607657183% Jul 20 11:53 UTC (GMT)
Relative percentage decrease from the original number 16 to new value 15.2 = 5% Jul 20 11:41 UTC (GMT)
Relative percentage decrease from the original number 41,572,021 to new value 33,305,250 = 19.885420052107% Jul 20 11:40 UTC (GMT)
Relative percentage decrease from the original number 1,587 to new value 1,461 = 7.939508506616% Jul 20 11:32 UTC (GMT)
Relative percentage decrease from the original number 13,463 to new value 2,922 = 78.296070712323% Jul 20 11:28 UTC (GMT)
Relative percentage decrease from the original number 6.91 to new value 7.33 = - 6.078147612156% Jul 20 11:23 UTC (GMT)
All relative percentage decrease operations run 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.