Answer:
24 increased by 6% = 25.44
Explanation:
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. 
6% = 6/100 = 6 ÷ 100 = 0.06. 
100% = 100/100 = 100 ÷ 100 = 1.
ncrease the number by 6% of its value. 
Percentage increase = 6% × 24 
New value = 24 + Percentage increase
Calculate the New Value 
New value = 
24 + Percentage increase = 
24 + (6% × 24) = 
24 + 6% × 24 = 
(1 + 6%) × 24 = 
(100% + 6%) × 24 = 
106% × 24 = 
106 ÷ 100 × 24 = 
106 × 24 ÷ 100 = 
2,544 ÷ 100 = 
25.44 
 
Calculate absolute change (actual difference) 
Absolute change (actual difference) = 
New value - 24 = 
25.44 - 24 = 
1.44
Proof. 
Calculate percentage increase... 
... And see if we get as a result 
the absolute change (actual difference). 
Percentage increase = 
6% × 24 = 
6 ÷ 100 × 24 = 
6 × 24 ÷ 100 = 
144 ÷ 100 = 
1.44 
So we have proven that the calculations are correct. 
For positive numbers 
Absolute change (actual difference) = 
Percentage increase 
Answer: 
24 increased by 6% = 25.44 
Absolute change (actual difference): 
25.44 - 24 = 1.44