Questions: Unit: Percents There are five questions listed below. Each question includes the quantity 37. Match the 37 in each question on the left to which part of the problem it represents on the right - the base, percent, or amount. Some answer options on the right will be used more than once. 12 is 37% of what number? - percent What is 52% of 37? - base 37 is what percent of 254? - amount What percent of 37 is 5? What number is 20% of 37?

Solution Steps

To solve these types of problems, we need to identify the role of the number 37 in each question. The roles can be categorized as base, percent, or amount. We will use basic percentage formulas to determine these roles.

1. For "12 is 37% of what number?", 37 is the percent.
2. For "What is 52% of 37?", 37 is the base.
3. For "37 is what percent of 254?", 37 is the amount.

To find the base when given the amount and the percent, use the formula: \[ \text{Base} = \frac{\text{Amount}}{\left(\frac{\text{Percent}}{100}\right)} \] Substituting the given values: \[ \text{Base} = \frac{12}{\left(\frac{37}{100}\right)} = 32.43 \]

To find the amount when given the base and the percent, use the formula: \[ \text{Amount} = \text{Base} \times \left(\frac{\text{Percent}}{100}\right) \] Substituting the given values: \[ \text{Amount} = 37 \times \left(\frac{52}{100}\right) = 19.24 \]

To find the percent when given the amount and the base, use the formula: \[ \text{Percent} = \left(\frac{\text{Amount}}{\text{Base}}\right) \times 100 \] Substituting the given values: \[ \text{Percent} = \left(\frac{37}{254}\right) \times 100 = 14.57 \]

Final Answer