What percent of 150 is $60?
Answer (2)
Set up the equation: p % × 150 = 60 .
Convert the percentage to a decimal: 100 p × 150 = 60 .
Solve for p : p = 150 60 × 100 .
Simplify to find the percentage: 40 .
Explanation
Understanding the Problem We need to determine what percentage of 150 equals 60. Let's denote the percentage we are looking for as p .
Setting up the Equation We can set up the equation: p % × 150 = 60 . This equation states that p percent of 150 is equal to 60.
Converting Percentage to Decimal To solve for p , we first rewrite the percentage as a decimal: 100 p × 150 = 60 .
Isolating p Now, we isolate p by multiplying both sides of the equation by 150 100 : p = 150 60 × 100 .
Calculating the Percentage Simplifying the expression, we get: p = 150 6000 = 40 . Therefore, 60 is 40% of 150.
Final Answer So, 60 is 40% of 150.
Examples
Imagine you're at a store where an item originally priced at $150 is now on sale for $60. Calculating the percentage helps you understand the size of the discount you're receiving. In this case, you're saving 40% off the original price. Understanding percentages is useful not only for calculating discounts but also for understanding statistics, figuring out tips, or determining proportions in recipes.
60 is 40% of 150. We set up an equation to find the percentage and solved for it. This process helps in understanding percentages in various contexts.
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