Percent of a Quantity

Learn percent of a quantity, finding a percentage.

Lesson 1 of 32 parts Practice Flashcards

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Percent of a Quantity

Objective: Explain percent of a quantity, apply the stated method, and check its conditions.

A percent is a ratio per hundred. To find p percent of a quantity W, calculate (p/100)W. A percentage requires a reference whole; identical percentages of different wholes can represent different absolute amounts. Identify the reference whole before calculating.

Formulas

$Part=(p/100)·whole$

Worked examples

Try itFind 7% of 600.Show answer

Step 1: Convert 7% to 7/100. Step 2: Multiply (7/100)(600). Step 3: The amount is 42.

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Percent of a Quantity

Objective: Explain percent of a quantity, apply the stated method, and check its conditions.

Formulas

$Part=(p/100)·whole$

Worked examples

Try itFind 7% of 600.Show answer

Step 1: Convert 7% to 7/100. Step 2: Multiply (7/100)(600). Step 3: The amount is 42.

Finding a Percentage

Objective: Explain finding a percentage, apply the stated method, and check its conditions.

The percentage representing part P of whole W>0 is 100P/W. The numerator and denominator must measure comparable quantities. A percentage may exceed 100 when the part being compared is larger than the reference whole. The reference whole is the denominator, not the numerator.

Formulas

$Percent = 100·part/whole$

Worked examples

Try it42 is what percent of 600?Show answer

Step 1: Use part/whole times 100. Step 2: Compute (42/600)·100. Step 3: The result is 7%.

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