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What is the percent of change from $100$ to $33$ ? $\newline$ Choices: $\newline$ (A) $74\%$ increase $\newline$ (B) $67\%$ increase $\newline$ (C) $74\%$ decrease $\newline$ (D) $67\%$ decrease

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Percent of change

Full solution

Q. What is the percent of change from

100

to

33

?

\newline

Choices:

\newline

(A)

74\%

increase

\newline

(B)

67\%

increase

\newline

(C)

74\%

decrease

\newline

(D)

67\%

decrease

Calculate Difference: Step $1$ : Calculate the difference between the final value and the initial value. $\newline$ Initial value: $100$ $\newline$ Final value: $33$ $\newline$ Difference = Final value - Initial value = $33 - 100 = -67$
Calculate Percent Change: Step $2$ : Calculate the percent of change based on the original amount. $\newline$ Original amount: $100$ $\newline$ Percent of change = $(\text{Difference} / \text{Original amount}) \times 100\% = (-67 / 100) \times 100\% = -67\%$
Determine Increase or Decrease: Step $3$ : Determine if the percent of change is an increase or decrease. $\newline$ Since the number goes down from $100$ to $33$ , it is a decrease.

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