Unit 2, Lesson 26
Finding the Percentage
Accelerated 6
26.2
Activity
In a jump-roping contest, four students have a goal of jumping rope for 20 minutes.
- Diego jumped rope for 20 minutes.
- Jada jumped rope for 15 minutes.
- Lin jumped rope for 24 minutes.
- Noah jumped rope for 9 minutes.
- Answer each question, and record it in the table.
- What percentage of the goal did each student reach?
- What fraction of the goal did each student reach?
- Write each fraction of the goal in decimal form.
time (minutes) percentage of goal fraction of goal fraction in decimal form Diego Jada Lin Noah - What do you notice about the numbers in “percentage of goal” and “fraction in decimal form” columns?
- Han jumped for minutes. Write an expression that shows:
- The fraction of the goal he reached.
- The percentage of the goal he reached.
Student Lesson Summary
What percentage of 90 kg is 36 kg?
One way to solve this problem is to first find what percentage 1 kg is of 90, and then multiply by 36.
From the table we can see that 1 kg is , so 36 kg is or 40% of 90. We can confirm this on a double number line diagram:
In general, to find what percentage a number is of another number , find of 100%, or calculate .
Suppose a school club has raised \$88 for a project but needs a total of \$160. What percentage of its goal has the club raised?
To find what percentage \$88 is of \$160, we find of 100% or , which equals , or 55. The club has raised 55% of its goal.
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