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When a number is decreased by
1%, the result is 93 . What is the original number to the nearest tenth?
Answer:

When a number is decreased by $1 \%$ , the result is $93$ . What is the original number to the nearest tenth? $\newline$ Answer:

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Find the total given a part and a percent

Full solution

Q. When a number is decreased by

1 \%

, the result is

93

. What is the original number to the nearest tenth?

\newline

Answer:

Set Up Equation: To find the original number, we need to consider that $93$ is $99\%$ of the original number, because it has been decreased by $1\%$ . We can represent this relationship with the equation: $\newline$ Original Number $\times 99\% = 93$
Solve for Original Number: To solve for the original number, we need to divide $93$ by $99\%$ . In decimal form, $99\%$ is $0.99$ . So the equation becomes: $\newline$ Original Number = $\frac{93}{0.99}$
Perform Division: Now we perform the division to find the original number: Original Number = $\frac{93}{0.99} \approx 93.9393939394$
Round to Nearest Tenth: We need to round the original number to the nearest tenth. Rounding $93.9393939394$ to the nearest tenth gives us: $\newline$ Original Number $\approx 93.9$

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