# (7.4 - 7.1) / |7.1| × 100% = ? Calculate the Relative Percent Change From Number 7.1 (Original, Reference) to 7.4 (New Value) and the Actual Change (Absolute Difference)

## The latest calculated relative percentage changes

 Relative percent change from the original number 7.1 to the new value of 7.4 = 4.225352112676% May 17 14:27 UTC (GMT) Relative percent change from the original number 246 to the new value of 242 = - 1.626016260163% May 17 14:26 UTC (GMT) Relative percent change from the original number 50 to the new value of 151 = 202% May 17 14:26 UTC (GMT) Relative percent change from the original number 10 to the new value of 10.6 = 6% May 17 14:26 UTC (GMT) Relative percent change from the original number 8.99 to the new value of 13 = 44.60511679644% May 17 14:25 UTC (GMT) Relative percent change from the original number 152 to the new value of 173 = 13.815789473684% May 17 14:25 UTC (GMT) Relative percent change from the original number 7.2 to the new value of 7.33 = 1.805555555556% May 17 14:25 UTC (GMT) Relative percent change from the original number 350 to the new value of 515 = 47.142857142857% May 17 14:24 UTC (GMT) Relative percent change from the original number 62,361.36 to the new value of 82,208.91 = 31.826679212897% May 17 14:24 UTC (GMT) Relative percent change from the original number 6,826 to the new value of 8,876 = 30.032229709933% May 17 14:23 UTC (GMT) Relative percent change from the original number 0.12 to the new value of 0.9 = 650% May 17 14:19 UTC (GMT) Relative percent change from the original number 50 to the new value of 31.96 = - 36.08% May 17 14:18 UTC (GMT) Relative percent change from the original number 14.3 to the new value of 49 = 242.657342657343% May 17 14:15 UTC (GMT) All the relative percentage changes, calculated by users
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## 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.