Use the basic proportion [tex]\frac{P}{100}=\frac{A}{B}[/tex] to solve the following problem for the unknown quantity. Round your answer to the nearest tenth, if necessary.
___% of 100 is 24.
Answer (1)
Substitute the given values into the proportion equation: 100 P = 100 24 .
Multiply both sides by 100 to isolate P : P = 100 24 × 100 .
Simplify the equation: P = 24 .
The percentage is 24 .
Explanation
Understanding the Problem We are given the basic proportion 100 P = B A and we need to find the value of P when A = 24 and B = 100 . In this problem, we are trying to find what percentage ( P ) of 100 is equal to 24.
Setting up the Proportion Substitute the given values of A and B into the proportion: 100 P = 100 24
Solving for P To solve for P , we multiply both sides of the equation by 100: P = 100 24 × 100
Finding the Percentage Simplify the equation: P = 24 Therefore, 24% of 100 is 24.
Examples
Imagine you're at a store where everything is 'X percent off'. If the original price of an item is $100 and the discount is 24%, this problem helps you calculate the exact amount you'll save, which in this case is $24. Understanding percentages is crucial for making informed decisions while shopping, calculating tips at restaurants, or understanding financial investments.
