Percent Word Problems

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100. For example, 3/5 = (3 ÷ 5) × 100 = 60%.

Front

What is the formula to find the percentage of a number?

Back

The formula to find the percentage of a number is: (Part/Whole) × 100 = Percentage.

Front

If 45% of a total number of coins are quarters, how do you find the total number of coins?

Back

To find the total number of coins, divide the number of quarters by the percentage (in decimal form). For example, if there are 36 quarters: Total coins = 36 ÷ 0.45 = 80 coins.

Front

How do you calculate 30% of a given amount?

Back

To calculate 30% of a given amount, multiply the amount by 0.30. For example, 30% of $20 = $20 × 0.30 = $6.

Front

What is the relationship between fractions and percentages?

Back

Fractions can be converted to percentages by dividing the numerator by the denominator and multiplying by 100. This shows how many parts out of 100 the fraction represents.

Front

How do you find what percentage one number is of another?

Back

To find what percentage one number is of another, use the formula: (Part/Whole) × 100. For example, to find what percentage 21 is of 84: (21 ÷ 84) × 100 = 25%.

Front

What does it mean if 74 out of 100 students wore brown?

Back

It means that 74% of the students wore brown, as the percentage is calculated by (74/100) × 100.

Front

How can you represent percentages visually?

Back

Percentages can be represented visually using pie charts, bar graphs, or tape diagrams, which help to show parts of a whole.

Front

What is the first step in solving a percent word problem?

Back

The first step is to identify what is being asked and determine the part, whole, and percentage involved in the problem.