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

Online calculator: relative percentage change

Latest calculated relative percentage increase changes

Relative percentage increase change from the original number 38,000 to the new value of 46,999 = 23.681578947368% May 30 04:45 UTC (GMT)
Relative percentage increase change from the original number 46,265.23 to the new value of 25,954 = - 43.901716256463% May 30 04:44 UTC (GMT)
Relative percentage increase change from the original number 2,800 to the new value of 3,203 = 14.392857142857% May 30 04:43 UTC (GMT)
Relative percentage increase change from the original number 64.8 to the new value of 59.1 = - 8.796296296296% May 30 04:43 UTC (GMT)
Relative percentage increase change from the original number 1,143 to the new value of 1,692 = 48.031496062992% May 30 04:42 UTC (GMT)
Relative percentage increase change from the original number 1,987 to the new value of 2,060 = 3.673880221439% May 30 04:41 UTC (GMT)
Relative percentage increase change from the original number 1,422,708 to the new value of 1,522,471 = 7.012190836068% May 30 04:41 UTC (GMT)
Relative percentage increase change from the original number 366.39 to the new value of 386.33 = 5.44228827206% May 30 04:41 UTC (GMT)
Relative percentage increase change from the original number 77.4 to the new value of 80 = 3.359173126615% May 30 04:41 UTC (GMT)
Relative percentage increase change from the original number 458,677 to the new value of 133,050 = - 70.992659322355% May 30 04:41 UTC (GMT)
Relative percentage increase change from the original number 2,899 to the new value of 3,200 = 10.382890651949% May 30 04:41 UTC (GMT)
Relative percentage increase change from the original number 3,640,000,000 to the new value of 4,040,400,007 = 11.000000192308% May 30 04:40 UTC (GMT)
Relative percentage increase change from the original number 3.95 to the new value of 8.4 = 112.658227848101% May 30 04:40 UTC (GMT)
All relative percentage increase changes, calculated by users


Relative percentage change (relative percentage increase or decrease)

The absolute change (actual difference):

  • The difference between two numerical quantities, y - x, is called absolute difference, actual change or actual difference.
  • When x value is a reference value (the starting value that the value of y is compared to) then the difference between y and x is called the absolute change.
  • The actual difference (actual change) between two values is not always a good way to compare two numbers.
  • The actual change of one unit from number 8 to number 9 is of much more significance than the same difference of one unit between the much larger numbers of 9,999,998 and 9,999,999.
  • In this case we need to take into account the "size" of the quantities involved.

Relative change (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 so called relative increase.
  • For values y that are smaller than the reference x value, the relative change is negative and in this case we have what it's called a relative decrease.
  • The relative change is not defined if the reference value is zero, x = 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 2 to 3) = (3 - 2) / |2| = 1/2 = 0.5 = 50%; this change is a relative percentage increase;
  • Relative change (from 9.999.999.998 to 9.999.999.999) = (9.999.999.999 - 9.999.999.998) / |9.999.999.998| = 1/9.999.999.998 ≈ 0 = 0%;
  • Relative change (from 2 to -3) = (-3 - 2) / |2| = -5/2 = -2.5 = -250%; this change is a relative percentage decrease;
  • Relative change (from 9.999.999.998 to -9.999.999.999) = (-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 (from -2 to 3) = (3 - (-2)) / |-2| = (3 + 2) / 2 = 5/2 = 2.5 = 250%; this change is a relative percentage increase;
  • Relative change (from -9.999.999.998 to 9.999.999.999) = (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.