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What percent of 76 is \( 19 ? \)

Ask by Powers Carroll. in the United States
Feb 04,2025

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Answer

19 is 25% of 76.

Solution

To find what percentage of 76 is 19, you can set up the equation: \[ 19 = \left( \frac{x}{100} \right) \times 76 \] Where \( x \) is the percentage we want to find. To solve for \( x \): 1. **Divide both sides by 76:** \[ \frac{19}{76} = \frac{x}{100} \] 2. **Simplify the left side:** \[ 0.25 = \frac{x}{100} \] 3. **Multiply both sides by 100 to solve for \( x \):** \[ x = 0.25 \times 100 = 25 \] **Therefore, 19 is 25\% of 76.** \[ \boxed{25\%} \]

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The Deep Dive

To find what percent 19 is of 76, you can use the formula: \[ \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100 \] Here, the part is 19 and the whole is 76. So, it would be: \[ \text{Percentage} = \left(\frac{19}{76}\right) \times 100 \approx 25 \] Thus, 19 is 25% of 76! Want to learn an interesting historical fact? The concept of percentages dates back to ancient times when people would use fractions to denote parts of a whole, with the term "percent" originating from the Latin phrase "per centum," meaning "by the hundred." This simple concept has been pivotal in trade, finance, and everyday calculations throughout history! In real-world application, knowing how to calculate percentages is super useful, especially for budgeting. For example, when shopping, knowing that a $76 jacket is 25% off means you're saving $19—and who doesn’t love a good discount? Understanding percentages can help you manage your finances better, making it easier to comparison shop and keep your spending in check!

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