\( 80 \% \) of \( \square=560 \)

To find what number (let's call it \( x \)) corresponds to \( 80\% \) of \( x \) being equal to \( 560 \), we can set up the equation: \[ 0.8x = 560 \] Dividing both sides by \( 0.8 \): \[ x = \frac{560}{0.8} \implies x = 700 \] So, \( 80\% \) of \( 700 \) is indeed \( 560 \)! Now, if you're looking for a visual or numerical way to grasp percentages, think of \( 100\% \) as a whole pie. If you slice it into five equal pieces, each piece represents \( 20\% \). Four of those slices together comprise \( 80\% \), which visually represents how we can easily calculate or visualize percentages in real-life scenarios such as budgeting or statistics. Feeling confused about percentages? You’re not alone! A common mistake people make is forgetting to convert the percentage into a decimal before doing calculations. Remember, to convert \( 80\% \) into decimal, you move the decimal point two places to the left—turning it into \( 0.8 \). Keep this in mind to avoid miscalculations!