(1 - 15%) × 700 = ? Number 700 decreased by 15% (15 percent) of its value (percentage decrease) and calculated absolute change (actual difference)
Decrease 700 by 15% of its value
Detailed calculations & verification
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
15% = 15/100 = 15 ÷ 100 = 0.15.
100% = 100/100 = 100 ÷ 100 = 1.
Decrease number by 15% of its value.
Percentage decrease = 15% × 700
New value = 700 - Percentage decrease
Calculate the New Value
New value =
700 - Percentage decrease =
700 - (15% × 700) =
700 - 15% × 700 =
(1 - 15%) × 700 =
(100% - 15%) × 700 =
85% × 700 =
85 ÷ 100 × 700 =
85 × 700 ÷ 100 =
59,500 ÷ 100 =
595
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 700 =
595 - 700 =
- 105
Proof.
Calculate percentage increase...
... And see if we get as a result
the absolute change (actual difference).
Percentage decrease =
15% × 700 =
15 ÷ 100 × 700 =
15 × 700 ÷ 100 =
10,500 ÷ 100 =
105
So we have proven that the calculations are correct.
For positive numbers
Absolute change (actual difference) =
- 1 × Percentage decrease
Answer:
700 decreased by 15% = 595
Absolute change (actual difference):
595 - 700 = - 105
Signs: % percent, ÷ divide, × multiply, = equal, ≈ approximately equal, / fraction bar;
Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark;
More operations of this kind:
Decrease number by percentage of value, calculate percentage decrease
Latest numbers decreased by percentage of value
| 700, percentage decreased by 15% (percent) of its value = 595 | May 17 14:52 UTC (GMT) |
| 30,500, percentage decreased by 27% (percent) of its value = 22,265 | May 17 14:52 UTC (GMT) |
| 2,160,000, percentage decreased by 15% (percent) of its value = 1,836,000 | May 17 14:52 UTC (GMT) |
| 220, percentage decreased by 15% (percent) of its value = 187 | May 17 14:52 UTC (GMT) |
| 296, percentage decreased by 56% (percent) of its value = 130.24 | May 17 14:52 UTC (GMT) |
| 10.92, percentage decreased by 21% (percent) of its value = 8.6268 | May 17 14:51 UTC (GMT) |
| 237, percentage decreased by 50% (percent) of its value = 118.5 | May 17 14:51 UTC (GMT) |
| 721.45, percentage decreased by 9.2% (percent) of its value = 655.0766 | May 17 14:51 UTC (GMT) |
| 3,929, percentage decreased by 4% (percent) of its value = 3,771.84 | May 17 14:51 UTC (GMT) |
| 110, percentage decreased by 50% (percent) of its value = 55 | May 17 14:51 UTC (GMT) |
| 67,530, percentage decreased by - 1% (percent) of its value = 68,205.3 | May 17 14:51 UTC (GMT) |
| 65.7, percentage decreased by - 7% (percent) of its value = 70.299 | May 17 14:51 UTC (GMT) |
| 420, percentage decreased by 750% (percent) of its value = - 2,730 | May 17 14:50 UTC (GMT) |
| All the numbers decreased by percentage of value |
Decrease numbers by percentages of their values and calculate the absolute percentage change (difference)
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
Examples of calculations on how to decrease a number by percentage of its value and calculate the absolute percentage change:
- 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;
- 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;
- 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;
- 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.