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 199,045 to the new value of 181.946 = - 99.908590519732% Nov 21 08:13 UTC (GMT)
Relative percentage increase change from the original number 104 to the new value of 86 = - 17.307692307692% Nov 21 08:13 UTC (GMT)
Relative percentage increase change from the original number 1,168,958 to the new value of 1,506,640 = 28.887436503279% Nov 21 08:12 UTC (GMT)
Relative percentage increase change from the original number 8,878,497 to the new value of 8,268,000 = - 6.876130047687% Nov 21 08:10 UTC (GMT)
Relative percentage increase change from the original number 85,473 to the new value of 50,078 = - 41.410737893838% Nov 21 08:10 UTC (GMT)
Relative percentage increase change from the original number 4,900 to the new value of 5,876 = 19.918367346939% Nov 21 08:10 UTC (GMT)
Relative percentage increase change from the original number 3,440 to the new value of 2,449 = - 28.808139534884% Nov 21 08:10 UTC (GMT)
Relative percentage increase change from the original number 1,803 to the new value of 1,724 = - 4.381586245147% Nov 21 08:10 UTC (GMT)
Relative percentage increase change from the original number 142.5 to the new value of 175 = 22.80701754386% Nov 21 08:10 UTC (GMT)
Relative percentage increase change from the original number 1,255 to the new value of 1,541 = 22.788844621514% Nov 21 08:10 UTC (GMT)
Relative percentage increase change from the original number 1.8387 to the new value of 1.9358 = 5.280904987219% Nov 21 08:10 UTC (GMT)
Relative percentage increase change from the original number 242 to the new value of 11 = - 95.454545454545% Nov 21 08:09 UTC (GMT)
Relative percentage increase change from the original number 800 to the new value of 1,226 = 53.25% Nov 21 08:09 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.