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What number is \( 84.5 \% \) of \( 280 ? \)

Ask by Tran Pollard. in the United States
Jan 22,2025

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Answer

\( 84.5\% \) of \( 280 \) is \( 236.6 \).

Solution

To find out what number is \( 84.5\% \) of \( 280 \), you can use the following calculation: \[ \text{Number} = \left( \frac{84.5}{100} \right) \times 280 = 0.845 \times 280 \] Let's perform the multiplication step-by-step: 1. **Calculate 80% of 280:** \[ 0.8 \times 280 = 224 \] 2. **Calculate 4.5% of 280:** \[ 0.045 \times 280 = 12.6 \] 3. **Add both results together:** \[ 224 + 12.6 = 236.6 \] So, \( 84.5\% \) of \( 280 \) is **236.6**. **Answer:** \( 84.5\% \) of \( 280 \) is \( 236.6 \).

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Bonus Knowledge

To find \( 84.5\% \) of \( 280 \), you can convert the percentage into a decimal by dividing by \( 100 \). So, \( 84.5\% \) becomes \( 0.845 \). You then multiply this decimal by \( 280 \): \[ 0.845 \times 280 = 237.6 \] Thus, \( 84.5\% \) of \( 280 \) is \( 237.6 \). If you’re ever unsure about percentage calculations, remember that finding a percentage of a number can also be visualized with a pie chart. Imagine dividing the whole (in this case, \( 280 \)) into 100 equal slices — each slice represents \( 1\% \). Counting out \( 84.5 \) of those slices will give you a clear picture of how much \( 237.6 \) represents. Also, a common mistake when dealing with percentages is forgetting to convert them into decimals before multiplication. Always remember, \( \frac{percent}{100} = decimal \) is your golden rule for accurate calculations!

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