Question
Remember that \( 1 \% \) of a number is \( \frac{1}{100} \) of that number. What part of a number is the given percent? \( 75 \% \)
Ask by Boone Colon. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 75\% \) is the same as three fourths of a number.
Solution
To find what part of a number corresponds to a given percent, you can convert the percentage to a fraction or decimal.
**Given:** \( 75\% \)
**Step 1: Convert Percentage to Fraction**
\[
75\% = \frac{75}{100}
\]
**Step 2: Simplify the Fraction**
\[
\frac{75}{100} = \frac{3}{4}
\]
**Conclusion:**
\( 75\% \) of a number is the same as \( \frac{3}{4} \) of that number.
**Example:**
If the number is \( 200 \),
\[
75\% \text{ of } 200 = \frac{3}{4} \times 200 = 150
\]
So, \( 75\% \) represents **three fourths** of the number.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find what part of a number \( 75\% \) represents, you can convert the percentage to a fraction. \( 75\% \) is equivalent to \( \frac{75}{100} \), which simplifies to \( \frac{3}{4} \). This means \( 75\% \) of a number is \( \frac{3}{4} \) of that number. So, if you had a number, say 100, then \( 75\% \) would be \( 75 \). To visualize this a bit better, think of \( 75\% \) as three-quarters of a pizza. If you have a whole pizza and you take away one-quarter, you'll have three pieces left, which is the \( 75\% \) you still have. So, in yummy terms, \( 75\% \) equals a delicious three-fourths of your pizza!
