(1 - 73%) × 105 = ? Percentage decrease change: Decrement the number 105 by 73% (percent) of its value and Calculate the actual change (the absolute difference)
Decrease the number 105 by 73% of its value
A brief introduction. Definitions and formulas
Percent, p%
'Percent (%)' means 'out of one hundred':
73% = 73 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100
73% = 73/100 = 73 ÷ 100 = 0.73
100% = 100/100 = 100 ÷ 100 = 1
How to decrease the number 105
by 73% of its value?
The value of the percentage decrease = 73% × 105
The new value = 105 - The value of the percentage decrease
Detailed calculations and the calculation proof
1. Calculate the new value of the number...
... decreased by percentage of its initial value
The new value =
105 - The value of the percentage decrease =
105 - (73% × 105) =
105 - 73% × 105 =
(1 - 73%) × 105 =
(100% - 73%) × 105 =
27% × 105 =
27 ÷ 100 × 105 =
27 × 105 ÷ 100 =
2,835 ÷ 100 =
28.35
2. Calculate the actual change (the absolute difference)...
... between the new value and the initial one
The actual change =
The new value - 105 =
28.35 - 105 =
- 76.65
Proof of calculation
We will prove below that the calculations are correct:
Calculate the value of the percentage decrease and see if we get as a result the actual change (the absolute difference) between the new value and the initial one.
For positive numbers, the actual change = - 1 × The value of the percentage decrease
Calculate the value of the percentage decrease:
The value of the percentage decrease =
73% × 105 =
73 ÷ 100 × 105 =
73 × 105 ÷ 100 =
7,665 ÷ 100 =
76.65
The value of the percentage decrease = - 1 × The actual change =>
In conclusion, the calculations are correct.
The answer:
105 decreased by 73% of its value = 28.35
The actual change:
28.35 - 105 = - 76.65
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.
Other similar operations with percentages:
The latest 5 numbers decreased by percentages of their values
Decrease numbers by percentage of their values, calculate the percentage decreased values
Decrease numbers by percentages of their values and calculate the absolute percentage change (difference). Examples
How to calculate the new value of a number by decreasing it by percentage of its value and the absolute percentage change (difference)
- Percentage decreased number = Initial value - Absolute percentage change (difference)
- Absolute percentage change (difference) = Percentage decrease % × Initial value
- Percentage decreased number = Initial value - Percentage decrease % × Initial value = (1 - Percentage decrease %) × Initial value
- In conclusion:
Percentage decreased number = (1 - Percentage decrease %) × Initial value
Initial value = Percentage decreased number / (1 - Percentage decrease %)
Absolute percentage change (difference) = Percentage decrease % × Initial value = New value - Initial value
Four examples of calculations below.
- How to decrease a number by percentage of its value
- How to calculate the absolute percentage change:
Example 1:
- If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 =>
- Percentage decreased number = 0.8 × Initial value, and Initial value = Percentage decreased number / 0.8; Absolute percentage change (difference) = New value - Initial value;
Example 2:
- If Percentage decrease % = 5%, (1 - Percentage decrease %) = 1 - 5% = 100/100 - 5/100 = 95/100 = 0.95 =>
- Percentage decreased number = 0.95 × Initial value, and Initial value = Percentage decreased number / 0.95; Absolute percentage change (difference) = New value - Initial value;
Example 3:
- If Percentage decrease % = 120%, (1 - Percentage decrease %) = 1 - 120% = 100/100 - 120/100 = -20/100 = -0.2 =>
- Percentage decreased number = -0.2 × Initial value, and Initial value = Percentage decreased number / -0.2; Absolute percentage change (difference) = New value - Initial value;
Example 4:
- If Percentage decrease % = -30%, (1 - Percentage decrease %) = 1 - (-30%) = 1 + 30% = 100/100 + 30/100 = 130/100 = 1.3 =>
- Percentage decreased number = 1.3 × Initial value, and Initial value = Percentage decreased number / 1.3; this is in fact a percentage increase of the initial number; Absolute percentage change (difference) = New value - Initial value.