Question
The number 32.37 is \( 20.75 \% \) of what number? The number 32.37 is \( 20.75 \% \) of (Type an integer or a decimal )
Ask by Goodwin Coleman. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number 32.37 is 20.75% of 156.
Solution
To find the number that 32.37 is 20.75% of, we can set up the equation:
\[ 0.2075x = 32.37 \]
Where \( x \) is the number we are looking for.
Now, we can solve for \( x \) by dividing both sides of the equation by 0.2075:
\[ x = \frac{32.37}{0.2075} \]
Let's calculate the value of \( x \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{32.37}{0.2075}\)
- step1: Convert the expressions:
\(\frac{\frac{3237}{100}}{\frac{83}{400}}\)
- step2: Multiply by the reciprocal:
\(\frac{3237}{100}\times \frac{400}{83}\)
- step3: Reduce the numbers:
\(39\times 4\)
- step4: Multiply the numbers:
\(156\)
The number 32.37 is 20.75% of 156.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To determine what number 32.37 is \( 20.75\% \) of, you can set up the equation: \[ 32.37 = 0.2075 \times x \] To find \( x \), divide both sides by \( 0.2075 \): \[ x = \frac{32.37}{0.2075} \approx 155.00 \] So, 32.37 is \( 20.75\% \) of approximately 155.00.