Calculate relative percentage decrease change from the original (reference, initial) to a new value and the absolute change (actual difference)

Online calculator relative percentage decrease

Latest calculated relative percentage decrease operations

Relative percentage decrease change from the original number - 8 to the new value of - 19 = 137.5% Jan 18 00:34 UTC (GMT)
Relative percentage decrease change from the original number 9.1 to the new value of 25.7 = - 182.417582417582% Jan 18 00:34 UTC (GMT)
Relative percentage decrease change from the original number 25 to the new value of 2,271 = - 8,984% Jan 18 00:33 UTC (GMT)
Relative percentage decrease change from the original number 23 to the new value of 497 = - 2,060.869565217391% Jan 18 00:33 UTC (GMT)
Relative percentage decrease change from the original number 9.1 to the new value of 25.6 = - 181.318681318681% Jan 18 00:33 UTC (GMT)
Relative percentage decrease change from the original number 2,140 to the new value of 1,925 = 10.046728971963% Jan 18 00:33 UTC (GMT)
Relative percentage decrease change from the original number 520,000 to the new value of 299,999 = 42.307884615385% Jan 18 00:32 UTC (GMT)
Relative percentage decrease change from the original number 9.1 to the new value of 25.6 = - 181.318681318681% Jan 18 00:31 UTC (GMT)
Relative percentage decrease change from the original number 50 to the new value of 46 = 8% Jan 18 00:26 UTC (GMT)
Relative percentage decrease change from the original number 20 to the new value of 635 = - 3,075% Jan 18 00:22 UTC (GMT)
Relative percentage decrease change from the original number 42.79 to the new value of 41.52 = 2.967983173639% Jan 18 00:21 UTC (GMT)
Relative percentage decrease change from the original number 54.3 to the new value of 40 = 26.335174953959% Jan 18 00:21 UTC (GMT)
Relative percentage decrease change from the original number 2.81 to the new value of 0 = 100% Jan 18 00:21 UTC (GMT)
All relative percentage decrease operations run by users


Relative percentage change (decrease or increase)

Absolute change (actual difference):

  • The difference between two numerical quantities, y - x, is called absolute difference, actual change or actual difference.
  • When y value is a reference value (the starting value that the value x is compared to) then the difference between y and x is called the absolute change.
  • 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 of 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 (increase or decrease) from a number x to another number y

  • Relative change (from x to y) = (Absolute change from x to y) / |x| = (y - x) / |x|, where x is the reference value that y is being compared to and |x| is the positive value of x.
  • For values y larger than the reference value x, the relative change is a positive number, and in this case we have a relative increase.
  • For values y that are smaller than the reference x value, the relative change is negative, and in this case we have a relative decrease.
  • The relative change is not defined if the reference value is zero, y = 0.

Relative percentage change

  • Relative percentage change is the relative change calculated as a percentage;
  • Relative percentage change = Relative change × 100/100 = (Relative change × 100)%.

Examples of calculating the relative percentage change (increase or decrease)

  • Relative change (from 3 to 2) = (2 - 3) / |3| = -1/3 = -0.33 = -33%; this change is a relative percentage decrease;
  • Relative change (from 9.999.999.999 to 9.999.999.998) = (9.999.999.998 - 9.999.999.999) / |9.999.999.999| = -1/9.999.999.999 ≈ 0 = 0%;
  • Relative change (from -3 to 2) = (2 - (-3)) / |-3| = (2 + 3) / 3 = 5/3 = 1.67 = 167%; this change is a relative percentage increase;
  • Relative change (from -9.999.999.999 to 9.999.999.998) = (9.999.999.998 - (-9.999.999.999)) / |-9.999.999.999| = 19.999.999.997/9.999.999.999 ≈ 2 = 200%; this change is a relative percentage increase;
  • Relative change (from 3 to -2) = (-2 - 3) / |3| = -5/3 = -1.67 = -167%; this change is a relative percentage decrease;
  • Relative change (from 9.999.999.999 to - 9.999.999.998) = (-9.999.999.998 - 9.999.999.999) / |9.999.999.999| = -19.999.999.997/9.999.999.999 ≈ -2 = -200%; this change is a relative percentage decrease.