Answer:
Not rounded:
1.62 increased by 8% of the value = 1.7496
The actual change:
1.7496 - 1.62 = 0.1296
Rounded off to max. 2 decimal places:
1.62 increased by 8% of the value ≈ 1.75
The actual change:
1.75 - 1.62 ≈ 0.13
Explanation:
'Percent (%)' means 'out of one hundred':
8% = 8 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100
8% = 8/100 = 8 ÷ 100 = 0.08
100% = 100/100 = 100 ÷ 100 = 1
The value of the percentage increase = 8% × 1.62
The new value = 1.62 + The value of the percentage increase
The new value =
1.62 + The value of the percentage increase =
1.62 + (8% × 1.62) =
1.62 + 8% × 1.62 =
(1 + 8%) × 1.62 =
(100% + 8%) × 1.62 =
108% × 1.62 =
108 ÷ 100 × 1.62 =
108 × 1.62 ÷ 100 =
174.96 ÷ 100 =
1.7496 ≈
1.75
The actual change =
The new value - 1.62 =
1.7496 - 1.62 =
0.1296 ≈
0.13
The value of the percentage increase =
8% × 1.62 =
8 ÷ 100 × 1.62 =
8 × 1.62 ÷ 100 =
12.96 ÷ 100 =
0.1296 ≈
0.13