[tex] \rightarrow [/tex] 12.5%
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To solve, use the formula:
[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]
Solve.
[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2
[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.
[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.
[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.
[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.
[tex] \rightarrow [/tex]x = 12.5
Therefore, the percentage of increase in the item is 12.5%.