Find One Hundred Percent Given Another Percent
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Lesson Plans and Worksheets for Grade 7
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 7
Common Core For Grade 7
Examples, videos, and solutions to help Grade 7 students find 100% of a quantity (the whole) when given a quantity that is a percent of the whole by using a variety of methods including finding 1%, equations, mental math using factors of 100, and double number line models.
• Students solve word problems involving finding 100% of a given quantity with and without using equations.
Lesson 5 Classwork
Opening Exercise
What are the whole number factors of 100? What are the multiples of those factors? How many multiples are there of each factor (up to 100)?
Example 1
The 42 students who play wind instruments represent 75% of the students who are in band. How many students are in band?
Exercises 1–3
1. Bob’s Tire Outlet sold a record number of tires last month. One salesman sold 165 tires, which was 60% of the tires sold in the month. What was the record number of tires sold?
2. Nick currently has 7,200 points in his fantasy baseball league, which is 20% more points than Adam. How many points does Adam have?
3. Kurt has driven 276 miles of his road trip but has 70% of the trip left to go. How many more miles does Kurt have to drive to get to his destination?
Example 2
Answer each part below using only mental math and describe your method.
a. If 39 is 1% of a number, what is that number? How did you find your answer?
b. If 39 is 10% of a number, what is that number? How did you find your answer?
c. If 39 is 5% of a number, what is that number? How did you find your answer?
d. If 39 is 15% of a number, what is that number? How did you find your answer?
e. If 39 is 25% of a number, what is that number? How did you find your answer?
Exercises 4–5
4. Derrick had a 0.250 batting average at the end of his last baseball season, which means that he got a hit 25% of the times he was up to bat. If Derrick had 47 hits last season, how many times did he bat?
5. Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Lesson Plans and Worksheets for Grade 7
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 7
Common Core For Grade 7
Examples, videos, and solutions to help Grade 7 students find 100% of a quantity (the whole) when given a quantity that is a percent of the whole by using a variety of methods including finding 1%, equations, mental math using factors of 100, and double number line models.
New York State Common Core Math Grade 7, Module 4, Lesson 5
Download worksheets for Grade 7, Module 4, Lesson 5Lesson 5 Student Outcomes
• Students find 100% of a quantity (the whole) when given a quantity that is a percent of the whole by using a variety of methods including finding 1%, equations, mental math using factors of 100, and double number line models.• Students solve word problems involving finding 100% of a given quantity with and without using equations.
Lesson 5 Classwork
Opening Exercise
What are the whole number factors of 100? What are the multiples of those factors? How many multiples are there of each factor (up to 100)?
Example 1
The 42 students who play wind instruments represent 75% of the students who are in band. How many students are in band?
Exercises 1–3
1. Bob’s Tire Outlet sold a record number of tires last month. One salesman sold 165 tires, which was 60% of the tires sold in the month. What was the record number of tires sold?
2. Nick currently has 7,200 points in his fantasy baseball league, which is 20% more points than Adam. How many points does Adam have?
3. Kurt has driven 276 miles of his road trip but has 70% of the trip left to go. How many more miles does Kurt have to drive to get to his destination?
Example 2
Answer each part below using only mental math and describe your method.
a. If 39 is 1% of a number, what is that number? How did you find your answer?
b. If 39 is 10% of a number, what is that number? How did you find your answer?
c. If 39 is 5% of a number, what is that number? How did you find your answer?
d. If 39 is 15% of a number, what is that number? How did you find your answer?
e. If 39 is 25% of a number, what is that number? How did you find your answer?
Exercises 4–5
4. Derrick had a 0.250 batting average at the end of his last baseball season, which means that he got a hit 25% of the times he was up to bat. If Derrick had 47 hits last season, how many times did he bat?
5. Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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