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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? \( 5 \% \)

Ask by Fleming Deleon. in the United States
Jan 25,2025

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Answer

\( 5\% \) of a number is \( 0.05 \) times that number.

Solution

To determine what part of a number \( 5\% \) represents, you can use the fact that \( 1\% \) of a number is \( \frac{1}{100} \) of that number. Here's how you can calculate \( 5\% \): \[ 5\% = \frac{5}{100} = 0.05 \] **So, \( 5\% \) of a number is \( 0.05 \) times that number.** **Example:** If you have a number, say \( 200 \), and you want to find \( 5\% \) of it: \[ 5\% \text{ of } 200 = 0.05 \times 200 = 10 \] **Therefore, \( 5\% \) of 200 is 10.**

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Bonus Knowledge

To find \( 5\% \) of a number, you can multiply the number by \( 0.05 \) or equivalently by \( \frac{5}{100} \). So, if your number is \( x \), then \( 5\% \) of \( x \) is calculated as \( 0.05 \times x \) or \( \frac{5}{100} \times x = \frac{x}{20} \). Thus, \( 5\% \) of a number is \( \frac{1}{20} \) of that number. In everyday scenarios, this concept comes in handy, especially when calculating discounts while shopping or determining tips in restaurants! For example, if you’re at a café and the bill is $40, just take 5% to figure out a quick tip: multiply \( 40 \times 0.05 \), and voila, a $2 tip will make the server smile!

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