# (1 + 80%) × 45,000,000 = ? Percentage Increase Change: Increment the Number 45,000,000 by 80% (Percent) of Its Value and Calculate the Actual Change (the Absolute Difference, the Variation). How Do You Increase the Number by a Percentage of Its Value? All the Steps Explained

## 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.