(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:

700 decreased by 14% = ?


700 decreased by 16% = ?


700 decreased by 1% = ?

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.