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 51 to the new value of 30 = - 41.176470588235% Nov 25 01:54 UTC (GMT)
Relative percent change from the original number 0.39 to the new value of 0.44 = 12.820512820513% Nov 25 01:53 UTC (GMT)
Relative percent change from the original number 410,674,824 to the new value of 473,454,375 = 15.286924674009% Nov 25 01:53 UTC (GMT)
Relative percent change from the original number 8,640 to the new value of 12,487 = 44.525462962963% Nov 25 01:52 UTC (GMT)
Relative percent change from the original number 7,479 to the new value of 7,912 = 5.789544056692% Nov 25 01:52 UTC (GMT)
Relative percent change from the original number 69,956 to the new value of 130,789 = 86.958945622963% Nov 25 01:51 UTC (GMT)
Relative percent change from the original number 74,610 to the new value of 790,204 = 959.112719474601% Nov 25 01:51 UTC (GMT)
Relative percent change from the original number 417 to the new value of 443 = 6.235011990408% Nov 25 01:51 UTC (GMT)
Relative percent change from the original number 0.25 to the new value of - 5 = - 2,100% Nov 25 01:50 UTC (GMT)
Relative percent change from the original number 0.02 to the new value of 90 = 449,900% Nov 25 01:50 UTC (GMT)
Relative percent change from the original number 30.65 to the new value of 32 = 4.404567699837% Nov 25 01:50 UTC (GMT)
Relative percent change from the original number 2,700 to the new value of 10,801 = 300.037037037037% Nov 25 01:49 UTC (GMT)
Relative percent change from the original number 283,824 to the new value of 362,828 = 27.835560065393% Nov 25 01:49 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