Calculate relative percentage increase change from the original (reference, 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 738 to the new value of 773 = 4.742547425474% Nov 20 18:12 UTC (GMT)
Relative percentage increase change from the original number 0.256 to the new value of 0.17 = - 33.59375% Nov 20 18:12 UTC (GMT)
Relative percentage increase change from the original number 34 to the new value of 28 = - 17.647058823529% Nov 20 18:12 UTC (GMT)
Relative percentage increase change from the original number 98 to the new value of 90 = - 8.163265306122% Nov 20 18:11 UTC (GMT)
Relative percentage increase change from the original number 338 to the new value of 395 = 16.863905325444% Nov 20 18:09 UTC (GMT)
Relative percentage increase change from the original number 7,207 to the new value of 11,739 = 62.883307895102% Nov 20 18:09 UTC (GMT)
Relative percentage increase change from the original number 713,001 to the new value of 1,203,695 = 68.820941345103% Nov 20 18:09 UTC (GMT)
Relative percentage increase change from the original number 3,600 to the new value of 3,981 = 10.583333333333% Nov 20 18:09 UTC (GMT)
Relative percentage increase change from the original number 355 to the new value of 562 = 58.30985915493% Nov 20 18:09 UTC (GMT)
Relative percentage increase change from the original number 243,029 to the new value of 327,775 = 34.870735591226% Nov 20 18:09 UTC (GMT)
Relative percentage increase change from the original number 200 to the new value of 202 = 1% Nov 20 18:09 UTC (GMT)
Relative percentage increase change from the original number 2.37 to the new value of 2.23 = - 5.907172995781% Nov 20 18:09 UTC (GMT)
Relative percentage increase change from the original number 117,418 to the new value of 213,327 = 81.681684239214% Nov 20 18:09 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.