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 6,503,139 to the new value of 6,292,178 = 3.24398724985% Sep 26 14:32 UTC (GMT)
Relative percentage decrease from the original number 18,127 to the new value of 16,255 = 10.327136315993% Sep 26 14:30 UTC (GMT)
Relative percentage decrease from the original number 49 to the new value of 48.66 = 0.69387755102% Sep 26 14:30 UTC (GMT)
Relative percentage decrease from the original number 29,988 to the new value of 41,770 = - 39.289048952914% Sep 26 14:26 UTC (GMT)
Relative percentage decrease from the original number 34.19 to the new value of 19 = 44.428195378766% Sep 26 14:25 UTC (GMT)
Relative percentage decrease from the original number 616,347 to the new value of 53,652 = 91.295163276531% Sep 26 14:20 UTC (GMT)
Relative percentage decrease from the original number 10,200 to the new value of 10,000 = 1.960784313725% Sep 26 14:17 UTC (GMT)
Relative percentage decrease from the original number 47,691 to the new value of 13,669 = 71.338407666017% Sep 26 14:15 UTC (GMT)
Relative percentage decrease from the original number 3.14 to the new value of 3.45 = - 9.872611464968% Sep 26 14:13 UTC (GMT)
Relative percentage decrease from the original number 17,045,856 to the new value of 13,885,197 = 18.542096096553% Sep 26 14:13 UTC (GMT)
Relative percentage decrease from the original number 1,207 to the new value of 1,184 = 1.905550952775% Sep 26 14:12 UTC (GMT)
Relative percentage decrease from the original number 7.76 to the new value of 7.64 = 1.546391752577% Sep 26 14:12 UTC (GMT)
Relative percentage decrease from the original number 58.8 to the new value of 15.1 = 74.319727891156% Sep 26 14:11 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 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.