How to decrease the number 670
by - 10% of its value?
Value of Percentage Decrease. New Value
- A percentage value is nothing but a fraction with a denominator of 100:
- - 10% = - 10/100 = - 10 ÷ 100 = - 0.1
- ...
- To decrease a positive number, subtract from it the 'Value of Percentage Decrease'.
- To decrease a negative number, don't subtract from it, but add to it the 'Value of Percentage Decrease'.
- ...
Value of Percentage Decrease =
Percentage of the Decrease % × The original value =
- 10% × 670
New Value =
The original value - Value of Percentage Decrease =
670 - (- 10% × 670)
1. Calculate the End Value
decreased by a percentage of its Initial Value
End Value =
670 - Value of Percentage Decrease =
670 - (- 10% × 670) =
670 + 10% × 670 =
(670 is a common factor)
(1 + 10%) × 670 =
(100% + 10%) × 670 =
110% × 670 =
110 ÷ 100 × 670 =
110 × 670 ÷ 100 =
73,700 ÷ 100 =
737
2. Value of Percentage Decrease
It can be calculated in two ways.
The first method:
Value of Percentage Decrease =
Percentage of the Decrease % × The original value =
- 10% × 670
The second method:
Value of Percentage Decrease =
The original value - New Value
Value of Percentage Decrease =
- 67
The value of the decrease is negative, so we are actually dealing with a Percentage Increase.
The end value: 670 decreased by - 10% percent = 737
Value of Percentage Decrease = - 67