Question
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
Upstudy AI Solution
Tutor-Verified Answer
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:
\[
\boxed{60}
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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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 \( \$ 32.01 \).