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What is the percent of change from $100$ to $36$ ? $\newline$ Choices: $\newline$ (A) $64\%$ decrease $\newline$ (B) $79\%$ decrease $\newline$ (C) $79\%$ increase $\newline$ (D) $64\%$ increase

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Percent of change

Full solution

Q. What is the percent of change from

100

to

36

?

\newline

Choices:

\newline

(A)

64\%

decrease

\newline

(B)

79\%

decrease

\newline

(C)

79\%

increase

\newline

(D)

64\%

increase

Calculate Difference: Step $1$ : Calculate the difference between the final value and the initial value. $\newline$ Initial value: $100$ $\newline$ Final value: $36$ $\newline$ Difference = Final value - Initial value = $36 - 100 = -64$
Calculate Percent Change: Step $2$ : Calculate the percent of change based on the original amount. $\newline$ Original amount: $100$ $\newline$ Percent of change = $(\text{Difference} / \text{Original amount}) \times 100\% = (-64 / 100) \times 100\% = -64\%$
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 $36$ , it is a decrease.

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