Answer:
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.
8.5% = 8.5/100 = 8.5 ÷ 100 = 0.085.
100% = 100/100 = 100 ÷ 100 = 1.
Increase the number by 8.5% of its value.
Percentage increase = 8.5% × 15,837.77
New value =
15,837.77 + Percentage increase =
15,837.77 + (8.5% × 15,837.77) =
15,837.77 + 8.5% × 15,837.77 =
(1 + 8.5%) × 15,837.77 =
(100% + 8.5%) × 15,837.77 =
108.5% × 15,837.77 =
108.5 ÷ 100 × 15,837.77 =
108.5 × 15,837.77 ÷ 100 =
1,718,398.045 ÷ 100 =
17,183.98045 ≈
17,183.98
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 15,837.77 =
17,183.98045 - 15,837.77 =
1,346.21045 ≈
1,346.21
Proof.
Calculate percentage increase:
Percentage increase =
8.5% × 15,837.77 =
8.5 ÷ 100 × 15,837.77 =
8.5 × 15,837.77 ÷ 100 =
134,621.045 ÷ 100 =
1,346.21045 ≈
1,346.21