Percent Proportions

Front

What is a percent proportion?

Back

A percent proportion is a mathematical equation that shows the relationship between a part, a whole, and a percentage. It is often expressed in the form of a fraction: \( \frac{part}{whole} = \frac{percent}{100} \).

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 20% of 75, you calculate: \( 75 \times 0.20 = 15 \).

Front

What is the formula to find the whole when given a part and a percentage?

Back

The formula to find the whole is: \( whole = \frac{part \times 100}{percent} \).

Front

What does it mean when a problem states 'X is Y% of what number?'

Back

This means you need to find the whole number that corresponds to the given part (X) and percentage (Y%).

Front

How do you set up a proportion to solve for a missing part?

Back

To set up a proportion, use the formula: \( \frac{percent}{100} = \frac{part}{whole} \) and solve for the missing variable.

Front

What is 35% of 590?

Back

To find 35% of 590, multiply: \( 590 \times 0.35 = 206.5 \).

Front

If 18 is 30% of a number, how do you find that number?

Back

Use the formula: \( whole = \frac{part \times 100}{percent} = \frac{18 \times 100}{30} = 60 \).

Front

What is the relationship between part, whole, and percent in a percent proportion?

Back

The relationship is defined by the equation: \( \frac{part}{whole} = \frac{percent}{100} \).

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% becomes 0.25.

Front

What is the first step in solving a percent problem?

Back

Identify what is given (part, whole, or percent) and what needs to be found.