What is the value of $75\%$ of 58?
The problem asks to calculate 75% of the number 58. A percentage represents a fraction of 100, so 75% is equivalent to the ratio \(\frac{75}{100}\). This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 25: \[\frac{75}{100} = \frac{75 \div 25}{100 \div 25} = \frac{3}{4}.\] Alternatively, this can be written as the decimal 0.75.
To find 75% of 58, we multiply the number 58 by the fractional or decimal representation of 75%. Using the fraction \(\frac{3}{4}\), the calculation is: \[\text{Value} = 58 \times \frac{3}{4}.\] We can perform this by first multiplying 58 by 3: \[58 \times 3 = 174.\] Then, we divide the result by 4: \[174 \div 4 = 43.5.\] Alternatively, using the decimal 0.75: \[58 \times 0.75 = 43.5.\]
The calculation shows that 75% of 58 is 43.5. Therefore, the final value is \(\boxed{43.5}\).
Percentages are commonly used in daily life for tasks like calculating discounts or tax. For example, if a store offers a 75% discount on an item that originally costs \$58, you can use this calculation to find the discounted price. By multiplying 58 by 0.75, you find that the discount is \$43.50, meaning you would pay 58 - 43.50 = \$14.50 for the item. Understanding how to compute percentages allows for quick assessment of savings and costs.