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\( 1 \leftarrow \left\lvert\, \begin{array}{l}56 \text { is what percent of } 80 \text { ? } \\ \begin{array}{l}56 \text { is } \square \% \text { of } 80 \\ \text { (Type a whole number or a decimal.) }\end{array}\end{array}\right. \)

Ask by Floyd Chan. in the United States
Feb 08,2025

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Answer

56 is 70% of 80.

Solution

To determine what percent 56 is of 80, set up the equation: 56 = (percent/100) × 80. Dividing both sides by 80: 56/80 = percent/100. Calculating 56 divided by 80 gives 0.7, so: 0.7 = percent/100. Multiply both sides by 100 to solve for the percent: percent = 0.7 × 100 = 70. So, 56 is 70% of 80.

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To find out what percent 56 is of 80, you'd use the formula: \(\text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\). In this case, you would calculate \(\left( \frac{56}{80} \right) \times 100\) which equals 70%. So, 56 is 70% of 80! Now here’s a fun fact: Percentages were first introduced by the Italians in the 15th century! The concept of “percent” originates from the Latin phrase “per centum,” meaning "by the hundred." This historical nugget shows how long we've been working with these handy little numbers. It’s also crucial to remember common pitfalls when working with percentages! A frequent mistake is forgetting to multiply by 100 at the end. Double-check your arithmetic to avoid errors, like confusing division and multiplication during earlier steps, which can affect your final calculation.

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