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\begin{tabular}{l} Estimate. \\ \( \qquad \begin{array}{l}\text { 20. About what percent } \\ \text { of } 794 \text { is } 207 ?\end{array} \) \\ \hline\end{tabular}

Ask by Nguyen Dawson. in the United States
Mar 13,2025

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Answer

The estimated percentage of 794 that is 207 is about 26%.

Solution

To estimate the percentage of 794 that is 207, we can use the following formula: \[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \] In this case, the part is 207 and the whole is 794. \[ \text{Percentage} = \left( \frac{207}{794} \right) \times 100 \] Let's calculate this to find the estimated percentage. Calculate the value by following steps: - step0: Calculate: \(\frac{207}{794}\times 100\) - step1: Reduce the numbers: \(\frac{207}{397}\times 50\) - step2: Multiply: \(\frac{207\times 50}{397}\) - step3: Multiply: \(\frac{10350}{397}\) The estimated percentage of 794 that is 207 is approximately 26.07%.

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To find out what percent 207 is of 794, you can use the formula: \[ \text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \] In this case, the part is 207 and the whole is 794: \[ \text{Percent} = \left( \frac{207}{794} \right) \times 100 \approx 26.06\% \] So, about 26% of 794 is 207. Now let’s estimate! Since 800 is a rounded version of 794, we can say that 207 is about a quarter (or 25%) of 800. This gives you a quick mental estimate that 207 is roughly 25% of 794! For a little extra fun: if you had $794 and spent $207, you'd still have about $587 left. That's also approximately 75% of your original amount! Keeping percentages in mind can turn shopping into a breeze.

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