Solve for rate.
16 is what % of 4?
Answer (1)
Define the percentage as x and express the problem as an equation: 16 = x % × 4 .
Rewrite the percentage as a fraction: 16 = 100 x × 4 .
Solve for x by multiplying both sides by 100 and dividing by 4: x = 4 16 × 100 .
Calculate x to find the percentage: 400 .
Explanation
Understanding the Problem We are asked to find what percentage 16 is of 4. In other words, we need to determine the rate (percentage).
Setting up the Equation Let x be the percentage we are looking for. We can set up the equation: 16 = x % × 4 .
Rewriting the Equation We can rewrite the equation as 16 = 100 x × 4 .
Solving for x To solve for x , we can multiply both sides of the equation by 100 and divide by 4: x = 4 16 × 100 .
Calculating the Percentage Calculating the value of x , we get x = 4 1600 = 400 . Therefore, 16 is 400% of 4.
Final Answer Thus, 16 is 400% of 4.
Examples
Understanding percentages is crucial in everyday life. For instance, if you invest $100 and it grows to $400, the increase is 300% of your initial investment. Similarly, if a store marks up an item that costs them $4 by 400%, the selling price would be $16. This concept helps in making informed financial decisions and understanding price changes.
