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Complete the following statement. Write your answer as a decimal or whole number. Submit \( \% \) of \( \$ 53.35=\$ 32.01 \)

Ask by Salazar Sandoval. in the United States
Feb 20,2025

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Answer

\( 60\% \)

Solution

To find the percentage \( x \% \) of \( \$ 53.35 \) that equals \( \$ 32.01 \), we can set up the equation: \[ \frac{x}{100} \times 53.35 = 32.01 \] Now, we can solve for \( x \). 1. Multiply both sides by 100 to eliminate the fraction: \[ x \times 53.35 = 32.01 \times 100 \] 2. Calculate \( 32.01 \times 100 \): \[ 32.01 \times 100 = 3201 \] 3. Now, we have: \[ x \times 53.35 = 3201 \] 4. Divide both sides by \( 53.35 \) to isolate \( x \): \[ x = \frac{3201}{53.35} \] Now, let's calculate \( x \). Calculate the value by following steps: - step0: Calculate: \(\frac{3201}{53.35}\) - step1: Convert the expressions: \(\frac{3201}{\frac{1067}{20}}\) - step2: Multiply by the reciprocal: \(3201\times \frac{20}{1067}\) - step3: Reduce the numbers: \(3\times 20\) - step4: Multiply the numbers: \(60\) Calculating the expression gives us: \[ x = \frac{3201}{53.35} \approx 60 \] Thus, \( 60\% \) of \( \$ 53.35 \) equals \( \$ 32.01 \). The final answer is: \[ \boxed{60} \]

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Bonus Knowledge

To find the percentage, we can use the formula: \[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \] In this case, the "Part" is \( \$ 32.01 \) and the "Whole" is \( \$ 53.35 \). Plugging in the values we get: \[ \text{Percentage} = \left( \frac{32.01}{53.35} \right) \times 100 \approx 60\% \] So, \( 60\% \) of \( \$ 53.35 \) equals \( \$ 32.01 \).

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