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

Online calculator relative percentage decrease

Latest calculated relative percentage decrease operations

Relative percent decrease change from the original number - 20 to the new value of 814 = - 4,170% Sep 19 13:54 UTC (GMT)
Relative percent decrease change from the original number 100 to the new value of 45 = 55% Sep 19 13:54 UTC (GMT)
Relative percent decrease change from the original number 782 to the new value of 649 = 17.007672634271% Sep 19 13:53 UTC (GMT)
Relative percent decrease change from the original number 4,840 to the new value of 3,329 = 31.219008264463% Sep 19 13:52 UTC (GMT)
Relative percent decrease change from the original number - 0.1 to the new value of 411 = - 411,100% Sep 19 13:51 UTC (GMT)
Relative percent decrease change from the original number 17,045,856 to the new value of 13,885,198 = 18.542090230024% Sep 19 13:51 UTC (GMT)
Relative percent decrease change from the original number - 20 to the new value of 814 = - 4,170% Sep 19 13:49 UTC (GMT)
Relative percent decrease change from the original number 9 to the new value of 7.42 = 17.555555555556% Sep 19 13:48 UTC (GMT)
Relative percent decrease change from the original number 2,000 to the new value of 664 = 66.8% Sep 19 13:46 UTC (GMT)
Relative percent decrease change from the original number 200 to the new value of 2 = 99% Sep 19 13:46 UTC (GMT)
Relative percent decrease change from the original number 3,750,000 to the new value of - 9 = 100.00024% Sep 19 13:42 UTC (GMT)
Relative percent decrease change from the original number 500 to the new value of 410 = 18% Sep 19 13:41 UTC (GMT)
Relative percent decrease change from the original number 100,000 to the new value of 769 = 99.231% Sep 19 13:40 UTC (GMT)
All relative percentage decrease operations run by users


>> Calculate Relative Percentage Change


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.

>> Calculate Relative Percentage Change