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 10 to new value 12 = - 20% May 29 18:57 UTC (GMT)
Relative percentage decrease from the original number 83 to new value 53 = 36.144578313253% May 29 18:53 UTC (GMT)
Relative percentage decrease from the original number 31.5 to new value 42.3 = - 34.285714285714% May 29 18:53 UTC (GMT)
Relative percentage decrease from the original number 449 to new value 239 = 46.770601336303% May 29 18:52 UTC (GMT)
Relative percentage decrease from the original number 449 to new value 239 = 46.770601336303% May 29 18:42 UTC (GMT)
Relative percentage decrease from the original number 669 to new value 389 = 41.853512705531% May 29 18:37 UTC (GMT)
Relative percentage decrease from the original number 2,229,269 to new value 1,957,518 = 12.190139458271% May 29 18:37 UTC (GMT)
Relative percentage decrease from the original number 4.25 to new value 4.12 = 3.058823529412% May 29 18:37 UTC (GMT)
Relative percentage decrease from the original number 480 to new value 25 = 94.791666666667% May 29 18:37 UTC (GMT)
Relative percentage decrease from the original number 400,074 to new value 99,826 = 75.048116098522% May 29 18:35 UTC (GMT)
Relative percentage decrease from the original number 1.35 to new value 1.19 = 11.851851851852% May 29 18:35 UTC (GMT)
Relative percentage decrease from the original number 19,870,647 to new value 19,760,314 = 0.55525620278% May 29 18:32 UTC (GMT)
Relative percentage decrease from the original number 332 to new value 215 = 35.240963855422% May 29 18:26 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.