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 646,500 to the new value of 830,002 = 28.383913379737% Jan 18 10:01 UTC (GMT)
Relative percent change from the original number 0.75 to the new value of 2.2 = 193.333333333333% Jan 18 10:00 UTC (GMT)
Relative percent change from the original number - 10 to the new value of 166 = 1,760% Jan 18 10:00 UTC (GMT)
Relative percent change from the original number 1,770 to the new value of 2,122 = 19.887005649718% Jan 18 09:59 UTC (GMT)
Relative percent change from the original number 415 to the new value of 420 = 1.204819277108% Jan 18 09:58 UTC (GMT)
Relative percent change from the original number 2.84 to the new value of 2.91 = 2.464788732394% Jan 18 09:57 UTC (GMT)
Relative percent change from the original number 5,850 to the new value of 12,001 = 105.145299145299% Jan 18 09:57 UTC (GMT)
Relative percent change from the original number 8.1 to the new value of 14.5 = 79.012345679012% Jan 18 09:55 UTC (GMT)
Relative percent change from the original number 0.68 to the new value of 59 = 8,576.470588235294% Jan 18 09:54 UTC (GMT)
Relative percent change from the original number 6.5 to the new value of 6.7 = 3.076923076923% Jan 18 09:53 UTC (GMT)
Relative percent change from the original number 95 to the new value of 228 = 140% Jan 18 09:52 UTC (GMT)
Relative percent change from the original number 1,719.25 to the new value of 1,720 = 0.043623673113% Jan 18 09:50 UTC (GMT)
Relative percent change from the original number 194 to the new value of 580 = 198.969072164948% Jan 18 09:48 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