- Set up the equation \( \frac{x}{100} \times 190 = 53.2 \) to represent the relationship.
- Multiply by 100 and divide by 190 to isolate \( x \).
- Calculate the result: \( x = \frac{53.2 \times 100}{190} = 28 \).
- The final answer is \(\boxed{28\%}\).
Explanation
- Understanding the Problem
The problem asks us to find what percentage 53.2 is of 190. To find this, we represent the relationship as an equation where \(x\) is the percentage we are looking for:
\[\frac{x}{100} \times 190 = 53.2\]
Here, \(x\) represents the value of the percentage. To solve for \(x\), we need to isolate the variable on one side of the equation.
- Calculating the Percentage
To solve for \(x\), we first multiply both sides of the equation by 100 to remove the denominator:
\[x \times 190 = 53.2 \times 100\]
\[x \times 190 = 5320\]
Next, divide both sides of the equation by 190:
\[x = \frac{5320}{190}\]
Performing the division, we find:
\[x = 28\]
Therefore, 53.2 is 28% of 190.
Examples
Calculating percentages is a fundamental skill used in everyday life, such as determining tips at restaurants, calculating tax on purchases, or understanding discounts during sales. For example, if a store offers a discount on an item that originally costs \(\$190\) and the discounted price is \(\$53.2\) less than the original, you can use the same logic to determine the percentage discount: \(\frac{53.2}{190} \times 100 = 28\%\). This helps you quickly assess the value of a deal.