Learn on PengienVision, Mathematics, Grade 7Chapter 3: Analyze and Solve Percent Problems

Lesson 2: Connect Percent and Proportion

In this Grade 7 enVision Mathematics lesson from Chapter 3, students learn how to use percent proportions in the form part/whole = p/100 to solve three types of percent problems: finding the percent, finding the part, and finding the whole. Through real-world examples like calculating shooting percentages and room dimensions, students apply proportional reasoning to translate between ratios and percents. This lesson builds the foundational skill of writing and solving percent proportions that students will use throughout the chapter on analyzing and solving percent problems.

Section 1

Finding the percent using the percent proportion

Property

To find what percent a part is of a whole using the percent proportion:
Set up the proportion

partwhole=percent100\frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100}

Then cross multiply and solve for the unknown percent.

Examples

Section 2

Finding the part using the percent proportion

Property

To find the part when you know the percent and the whole, use the percent proportion:

partwhole=percent100\frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100}

Cross multiply and solve for the part:

part=percent×whole100\text{part} = \frac{\text{percent} \times \text{whole}}{100}

Section 3

Finding the whole when given a part and percent

Property

When given a part and its corresponding percent, use the percent proportion partwhole=percent100\frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100} and solve for the whole by rearranging to whole=part⋅100percent\text{whole} = \frac{\text{part} \cdot 100}{\text{percent}}.

Examples

Book overview

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Chapter 3: Analyze and Solve Percent Problems

  1. Lesson 1

    Lesson 1: Analyze Percents of Numbers

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  2. Lesson 2Current

    Lesson 2: Connect Percent and Proportion

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  3. Lesson 3

    Lesson 3: Represent and Use the Percent Equation

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  4. Lesson 4

    Lesson 4: Solve Percent Change and Percent Error Problems

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  5. Lesson 5

    Lesson 5: Solve Markup and Markdown Problems

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  6. Lesson 6

    Lesson 6: Solve Simple Interest Problems

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Lesson overview

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Section 1

Finding the percent using the percent proportion

Property

To find what percent a part is of a whole using the percent proportion:
Set up the proportion

partwhole=percent100\frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100}

Then cross multiply and solve for the unknown percent.

Examples

Section 2

Finding the part using the percent proportion

Property

To find the part when you know the percent and the whole, use the percent proportion:

partwhole=percent100\frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100}

Cross multiply and solve for the part:

part=percent×whole100\text{part} = \frac{\text{percent} \times \text{whole}}{100}

Section 3

Finding the whole when given a part and percent

Property

When given a part and its corresponding percent, use the percent proportion partwhole=percent100\frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100} and solve for the whole by rearranging to whole=part⋅100percent\text{whole} = \frac{\text{part} \cdot 100}{\text{percent}}.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 3: Analyze and Solve Percent Problems

  1. Lesson 1

    Lesson 1: Analyze Percents of Numbers

    LearnPractice
  2. Lesson 2Current

    Lesson 2: Connect Percent and Proportion

    LearnPractice
  3. Lesson 3

    Lesson 3: Represent and Use the Percent Equation

    LearnPractice
  4. Lesson 4

    Lesson 4: Solve Percent Change and Percent Error Problems

    LearnPractice
  5. Lesson 5

    Lesson 5: Solve Markup and Markdown Problems

    LearnPractice
  6. Lesson 6

    Lesson 6: Solve Simple Interest Problems

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