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10.) 24 is \( 0.6 \% \) of what number?

Ask by Parry Greene. in the United States
Mar 10,2025

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Answer

\( 24 \) is \( 0.6\% \) of \( 4000 \).

Solution

1. Let \( x \) be the unknown number. 2. The problem states that \( 24 \) is \( 0.6\% \) of \( x \). This can be written as: \[ 24 = \frac{0.6}{100} \times x \] 3. Simplify the fraction: \[ \frac{0.6}{100} = 0.006 \] Hence, the equation becomes: \[ 24 = 0.006x \] 4. Solve for \( x \) by dividing both sides by \( 0.006 \): \[ x = \frac{24}{0.006} \] 5. Calculate the division: \[ x = 4000 \] Thus, \( 24 \) is \( 0.6\% \) of \( 4000 \).

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To find out what number 24 is \( 0.6\% \) of, you can set up the equation: \[ 24 = 0.006 \times X \] To solve for \( X \), divide both sides by \( 0.006 \): \[ X = \frac{24}{0.006} = 4000 \] So, 24 is \( 0.6\% \) of 4000. Now, here's a fun fact: percentages originated in Italy in the late 15th century, where they were initially used for banking and commerce. It's fascinating to think how this simple concept of “per hundred” evolved into a tool we use daily in everything from finance to cooking! And speaking of real-world application, knowing how to calculate percentages can come in handy while shopping! If something is on sale for \( 0.6\% \) off, you can quickly determine how much you’re actually saving. Understanding percentages not only helps you save a few bucks but also makes transactions smoother, whether you’re grocery shopping or negotiating a discount!

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