Set-ups - Percent Proportions 6Q

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 as \( \frac{part}{whole} = \frac{percent}{100} \).

Front

How do you find 10% of a number?

Back

To find 10% of a number, multiply the number by 0.10 (or divide it by 10). For example, 10% of 50 is \( 50 \times 0.10 = 5 \).

Front

What is the formula to find what percent one number is of another?

Back

The formula to find what percent one number (part) is of another number (whole) is \( \frac{part}{whole} \times 100 \).

Front

How do you set up a proportion to find a missing whole?

Back

To set up a proportion to find a missing whole, use the formula \( \frac{part}{percent} = \frac{whole}{100} \).

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). You can set up the proportion \( \frac{Y}{100} = \frac{X}{whole} \).

Front

How do you solve for a missing percent in a proportion?

Back

To solve for a missing percent, set up the proportion as \( \frac{part}{whole} = \frac{percent}{100} \) and cross-multiply to find the value of percent.

Front

What is the first step in solving a percent problem?

Back

The first step is to identify what is given (part, whole, or percent) and what is being asked (missing value).

Front

How can you express a percentage as a fraction?

Back

A percentage can be expressed as a fraction by placing the percentage value over 100. For example, 25% can be expressed as \( \frac{25}{100} \).

Front

What is the relationship between fractions and percentages?

Back

Fractions and percentages both represent parts of a whole. A percentage is a fraction with a denominator of 100.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. For example, \( \frac{1}{4} = 0.25 \times 100 = 25% \).