Percentage Decrease Change Calculation
How to decrease the number - 0.1
by 3% of its value?
To decrease a negative number, don't subtract from it, but add to it the 'Value of Percentage Decrease'.
3% = 3/100 = 3 ÷ 100 = 0.03
100% = 100/100 = 100 ÷ 100 = 1
1. Calculate the New Value of the number...
... decreased by percentage of its initial value
New Value =
- 0.1 + Value of Percentage Decrease =
- 0.1 + (3% × - 0.1) =
- 0.1 + 3% × - 0.1 =
(1 + 3%) × - 0.1 =
(100% + 3%) × - 0.1 =
103% × - 0.1 =
103 ÷ 100 × - 0.1 =
103 × - 0.1 ÷ 100 =
- 10.3 ÷ 100 =
- 0.103 ≈
- 0.1
(Rounded off to max. 2 decimal places)
2. Calculate the Actual Change (Absolute Difference)...
... between the New Value and the initial one
Actual Change =
New Value - (- 0.1) =
- 0.103 - (- 0.1) =
- 0.103 + 0.1 =
- 0.003 ≈
(Rounded off to max. 2 decimal places)
0
- 0.1 decreased by 3% of its value = - 0.103
The Actual Change:
- 0.103 - (- 0.1) = - 0.103 + 0.1 = - 0.003
Rounded off to max. 2 decimal places
- 0.1 decreased by 3% of its value ≈ - 0.1
The Actual Change:
- 0.1 - (- 0.1) ≈ - 0.1 + 0.1 ≈ 0
The symbols used: % percent, ÷ division, × multiplication, = the equal sign, / the fraction bar, ≈ approximately the same. Writing numbers: comma ',' - as a thousands separator, point '.' as a decimal mark.