Question: Answer the following questions. (a) 25.16 is 42.5\% of what number? (b) What is 186\% of 30.5?

Answer the following questions.

(a) 25.16 is 42.5\% of what number?

(b) What is 186\% of 30.5?

Solution

(a) To find the number of which 25.16 is 42.5%, we set up the equation: Let \( x \) be the number we need to find. \[ 25.16 = 0.425 \times x \] Divide both sides by 0.425 to solve for \( x \): \[ x = \frac{25.16}{0.425} \] Calculate the division: \[ x \approx 59.2 \] So, the number is approximately 59.2. (b) To find 186% of 30.5, we calculate: Convert the percentage to a decimal: \[ 1.86 \times 30.5 \] Perform the multiplication: \[ 1.86 \times 30.5 = 56.73 \] So, 186% of 30.5 is 56.73.