Part Whole Percent: Finding the Whole

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is often used to compare ratios or to describe proportions.

Front

How do you find the whole when given a part and a percent?

Back

To find the whole, divide the part by the percent (in decimal form). For example, if 80% of the whole is 3200, then the whole is 3200 ÷ 0.80 = 4000.

Front

If 20% of a time period is 16 minutes, how do you find the total time?

Back

To find the total time, divide the time spent (16 minutes) by the percent (in decimal form). Total time = 16 ÷ 0.20 = 80 minutes.

Front

What does it mean if a tank is 75% full?

Back

If a tank is 75% full, it means that 75 out of every 100 parts of the tank's capacity are filled with liquid.

Front

How do you calculate the total number of students if 70% went on a trip and 350 attended?

Back

To find the total number of students, divide the number of students who attended (350) by the percent (in decimal form). Total students = 350 ÷ 0.70 = 500.

Front

If 60% of guitar sales were electric guitars and 12 were sold, how do you find total sales?

Back

To find total sales, divide the number of electric guitars sold (12) by the percent (in decimal form). Total sales = 12 ÷ 0.60 = 20.

Front

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

Back

The formula is: Part = Whole × Percent (in decimal form). For example, if the whole is 4000 and the percent is 80%, then Part = 4000 × 0.80 = 3200.

Front

How do you convert a percent to a decimal?

Back

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

Front

What is the relationship between part, whole, and percent?

Back

The relationship is defined by the equation: Percent = (Part ÷ Whole) × 100.

Front

If a student scored 90% on a test and answered 45 questions correctly, how many questions were on the test?

Back

To find the total number of questions, divide the correct answers (45) by the percent (in decimal form). Total questions = 45 ÷ 0.90 = 50.