Find the whole. \( 75 \% \) of what number is \( 27 ? \)
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To find the whole when \( 75\% \) of a number is \( 27 \), you can set up the equation: \[ 0.75 \times x = 27 \] To isolate \( x \), divide both sides by \( 0.75 \): \[ x = \frac{27}{0.75} = 36 \] So, the whole number is \( 36 \). Now, here’s a fun fact: percentages are all about parts and wholes. Knowing how to convert percent to a fraction (in this case, \( 75\% \) is equivalent to \( \frac{75}{100} \) or \( \frac{3}{4} \)) can greatly simplify your calculations! Also, if you ever find yourself stuck on a similar problem, a common mistake is forgetting to convert the percentage into decimal form. Always remember to divide by \( 100 \) to avoid confusion. It’s a tiny step that can make a big difference!