Calculate the Relative Percent Change Between Two Numbers & the Actual Change (Absolute Difference). Is the Change From the Original (Initial, Reference) to the New Value an Increase or a Decrease?

Online calculator: relative percent change

Latest calculated relative percentage increase changes

Relative percent change from the original number 8,466,315 to the new value of 10,939,639 = 29.213701592724% May 16 14:57 UTC (GMT)
Relative percent change from the original number 5,745,992 to the new value of 2,934,017 = - 48.938024974626% May 16 14:57 UTC (GMT)
Relative percent change from the original number - 38,552 to the new value of 912 = 102.365636024071% May 16 14:57 UTC (GMT)
Relative percent change from the original number 4.41 to the new value of 6.3 = 42.857142857143% May 16 14:57 UTC (GMT)
Relative percent change from the original number 8,209,023 to the new value of 9,212,297 = 12.221600548567% May 16 14:57 UTC (GMT)
Relative percent change from the original number 81,917.1194 to the new value of 63,839 = - 22.068792863339% May 16 14:56 UTC (GMT)
Relative percent change from the original number 1,132 to the new value of 1,150 = 1.590106007067% May 16 14:56 UTC (GMT)
Relative percent change from the original number 16.5 to the new value of 17.4 = 5.454545454545% May 16 14:55 UTC (GMT)
Relative percent change from the original number 15.76 to the new value of 23 = 45.939086294416% May 16 14:55 UTC (GMT)
Relative percent change from the original number 24,736 to the new value of 31,528 = 27.457956015524% May 16 14:54 UTC (GMT)
Relative percent change from the original number 942 to the new value of 530 = - 43.736730360934% May 16 14:54 UTC (GMT)
Relative percent change from the original number 118 to the new value of 295 = 150% May 16 14:54 UTC (GMT)
Relative percent change from the original number 19.4 to the new value of 20 = 3.092783505155% May 16 14:54 UTC (GMT)
All relative percentage increase changes, calculated by users


>> Calculate the Relative Percentage Decrease


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.

>> Calculate the Relative Percentage Decrease