Percent, p%
'Percent (%)' means 'out of one hundred':
22% = 22 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100
22% = 22/100 = 22 ÷ 100 = 0.22
100% = 100/100 = 100 ÷ 100 = 1
How to decrease the number 5,500
by 22% of its value?
The value of the percentage decrease = 22% × 5,500
The new value = 5,500 - The value of the percentage decrease
1. Calculate the new value of the number...
... decreased by percentage of its initial value
The new value =
5,500 - The value of the percentage decrease =
5,500 - (22% × 5,500) =
5,500 - 22% × 5,500 =
(1 - 22%) × 5,500 =
(100% - 22%) × 5,500 =
78% × 5,500 =
78 ÷ 100 × 5,500 =
78 × 5,500 ÷ 100 =
429,000 ÷ 100 =
4,290
Calculate the actual change (the absolute difference)...
... between the new value and the initial one
The actual change =
The new value - 5,500 =
The value of the percentage decrease = - 1 × The actual change =>
In conclusion, the calculations are correct.
5,500 decreased by 22% of its value = 4,290
The actual change:
4,290 - 5,500 = - 1,210
4,290 - 5,500 =
- 1,210