To find what percent of 144.6 is 303.2:
Set up the equation: 100 x × 144.6 = 303.2 .
Solve for x : x = 144.6 303.2 × 100 .
Calculate x : x ≈ 209.68 .
The answer is 209.68 .
Explanation
Understanding the Problem We are asked to find what percentage of 144.6 is equal to 303.2. Let x be the percentage we are looking for. This means we need to find x such that x % of 144.6 is 303.2. We can write this as an equation:
Setting up the Equation 100 x × 144.6 = 303.2
Isolating x To solve for x , we multiply both sides of the equation by 100 and divide by 144.6:
Solving for x x = 144.6 303.2 × 100
Calculating x Now, we calculate the value of x :
Rounding the Result The result of the operation is approximately 209.68188105117568. We are asked to round the answer to two decimal places. Therefore, we round 209.68188105117568 to 209.68.
Final Answer Therefore, 303.2 is approximately 209.68% of 144.6.
Examples
Understanding percentages is crucial in everyday life. For instance, when calculating discounts at a store, you're essentially finding a percentage of the original price. If an item originally costs $100 and is 25% off, you save $25. Similarly, when calculating tips at a restaurant, you're finding a percentage of the total bill. If your bill is $50 and you want to leave a 20% tip, you would leave a $10 tip. These calculations help you manage your finances and make informed decisions.