What % of 85 is $92?
Answer (1)
Set up the equation: 100 x × 85 = 92 .
Solve for x : x = 85 92 × 100 .
Calculate x : x = 108.23529411764706 .
Round to the nearest tenth percent: 108.2% .
Explanation
Understanding the problem We are asked to find what percentage of 85 is 92. Let's denote the percentage we are looking for as x .
Setting up the equation We can express the problem as an equation: x % of 85 = 92 . This can be written as: 100 x × 85 = 92
Solving for x Now, we need to solve for x . To do this, we can multiply both sides of the equation by 100 and then divide by 85: x = 85 92 × 100 x = 85 9200 x = 108.23529411764706
Rounding the answer We are asked to round the answer to the nearest tenth percent. So, we round 108.23529411764706 to 108.2.
Final Answer Therefore, 92 is 108.2% of 85.
Examples
Imagine you are a store owner and you bought an item for $85. You want to sell it for $92. To find the percentage markup, you would calculate what percentage of the original cost ($85) the selling price ($92) is. This is the same type of problem we just solved. Understanding percentages helps in many real-life situations, such as calculating discounts, interest rates, and percentage changes.
