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Remember that \( 1 \% \) of a number is \( \frac{1}{100} \) of that number. What part of a number is the given percent? \( 20 \% \)

Ask by Rodriquez Ramos. in the United States
Jan 25,2025

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Tutor-Verified Answer

Answer

\(20\%\) of a number is \(\frac{1}{5}\) of that number or \(0.2\) times the number.

Solution

To determine what part of a number \(20\%\) represents, you can use the understanding that \(1\%\) of a number is \(\frac{1}{100}\) of that number. Here's how you can calculate \(20\%\): \[ 20\% = \frac{20}{100} \] Simplifying the fraction: \[ \frac{20}{100} = \frac{1}{5} = 0.2 \] **Therefore, \(20\%\) of a number is equivalent to \(\frac{1}{5}\) of that number or \(0.2\) times the number.** **Example:** If you have a number, say \(50\), and you want to find \(20\%\) of it: \[ 20\% \text{ of } 50 = 0.2 \times 50 = 10 \] So, \(20\%\) of \(50\) is \(10\).

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Mind Expander

To find what part of a number \( 20\% \) is, we can utilize the same idea we used for \( 1\% \). Just as \( 1\% \) equals \( \frac{1}{100} \) of a number, \( 20\% \) simply means \( \frac{20}{100} \) of that number. This simplifies to \( \frac{1}{5} \). So, \( 20\% \) of a number is the same as one-fifth of that number. Now, if you want to visualize this practically, think about dividing something into equal parts. If you have a pizza and you cut it into 5 equal slices, each slice represents \( 20\% \) of the pizza. So, if you eat one slice, you've consumed \( 20\% \) of the whole pizza. Enjoy your pizza! 🍕

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