(y - x) / |x| × 100% = ? Calculate the Relative Percent Change Between Two Numbers & the Actual Change (Absolute Difference). Is the Change From the Original (Initial, Reference, x) to the New Value (y) an Increase or a Decrease?

Online calculator: relative percent change

The latest calculated relative percentage changes

Relative percent change from the original number 10,000 to the new value of 10,780 = 7.8% May 17 13:52 UTC (GMT)
Relative percent change from the original number 71 to the new value of 186 = 161.971830985915% May 17 13:51 UTC (GMT)
Relative percent change from the original number 5,600 to the new value of 5,936 = 6% May 17 13:51 UTC (GMT)
Relative percent change from the original number 4,000 to the new value of 4,800 = 20% May 17 13:40 UTC (GMT)
Relative percent change from the original number 894 to the new value of 256 = - 71.364653243848% May 17 13:40 UTC (GMT)
Relative percent change from the original number 300,000 to the new value of 307,350 = 2.45% May 17 13:39 UTC (GMT)
Relative percent change from the original number 1,000,000 to the new value of 471,859 = - 52.8141% May 17 13:38 UTC (GMT)
Relative percent change from the original number 385.54 to the new value of 452 = 17.238159464647% May 17 13:38 UTC (GMT)
Relative percent change from the original number 0.16 to the new value of - 16 = - 10,100% May 17 13:37 UTC (GMT)
Relative percent change from the original number 4.16 to the new value of 7 = 68.269230769231% May 17 13:28 UTC (GMT)
Relative percent change from the original number 988 to the new value of 1,017 = 2.935222672065% May 17 13:27 UTC (GMT)
Relative percent change from the original number - 14,313 to the new value of 853 = 105.959617131279% May 17 13:25 UTC (GMT)
Relative percent change from the original number 999 to the new value of 984 = - 1.501501501502% May 17 13:22 UTC (GMT)
All the relative percentage 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