# (1 + 3%) × 21 = ? Percentage increase change: increment the number 21 by 3% (percent) of its value and Calculate the actual change (the absolute difference)

## The latest 5 numbers increased by percentages of their values

 The number 21 increased by 3% (3 percent) of its value = 21.63 Feb 02 10:22 UTC (GMT) The number 70,720 increased by 10% (10 percent) of its value = 77,792 Feb 02 10:22 UTC (GMT) The number 12.51 increased by 15% (15 percent) of its value = 14.3865 Feb 02 10:21 UTC (GMT) The number 165,000 increased by 28% (28 percent) of its value = 211,200 Feb 02 10:21 UTC (GMT) The number 32.22 increased by 151% (151 percent) of its value = 80.8722 Feb 02 10:21 UTC (GMT) All the numbers increased by percentages of their values

## Increase numbers by percentage of their initial value and calculate the absolute percentage change (difference). Examples

### How to calculate the new value of a number when increasing it by percentage of its initial value and how to calculate the absolute percentage change (difference)?

• New value = Initial value + Absolute percentage change (difference)
• Absolute percentage change (difference) = Percentage increase % × Initial value
• => New value = Initial value + Percentage increase % × Initial value = (1 + Percentage increase %) × Initial value
• In conclusion:

### Four examples of calculations below.

• How to increase a number by percentage of its initial value (percentage increase).
• How to calculate the absolute percentage change (difference):

#### Example 1:

• If Percentage increase % = 20%, (1 + Percentage increase %) = 1 + 20% = 100/100 + 20/100 = 120/100 = 1.20 =>
• Number increased by value percentage = 1.20 × Initial value, and Initial value = Number increased by value percentage / 1.20; Absolute percentage change = New value - Initial value;

#### Example 2:

• If Percentage increase % = 5%, (1 + Percentage increase %) = 1 + 5% = 100/100 + 5/100 = 105/100 = 1.05 =>
• Number increased by value percentage = 1.05 × Initial value, and Initial value = Number increased by value percentage / 1.05; Absolute percentage change = New value - Initial value;

#### Example 3:

• If Percentage increase % = 124%, (1 + Percentage increase %) = 1 + 124% = 100/100 + 124/100 = 224/100 = 2.24 =>
• Number increased by value percentage = 2.24 × Initial value, and Initial value = Number increased by value percentage / 2.24; Absolute percentage change = New value - Initial value;

#### Example 4:

• If Percentage increase % = -8%, (1 + Percentage increase %) = 1 - 8% = 100/100 - 8/100 = 92/100 = 0.92 =>
• Number increased by value percentage = 0.92 × Initial value, and Initial value = Number increased by value percentage / 0.92; in this case we have in fact a decreasing of the value of the number; Absolute percentage change = New value - Initial value.