## Percentage as a Rate per Hundred

#### Aligned To Common Core Standard:

**Grade 6 Proportional Relationships** - 6.RP.A.3c

**How to Determine the Percentage of a Value?**- Percentage calculation is another important concept of mathematics that has significant use even in real life. Whether calculating the increase in profit of a company or calculation of grades in a classroom, percentage calculations are used everywhere.
Percent is a term that means for every 100 and the symbol that is used to represent percentage is %. The symbol is a quick way to right a fraction with 100 as its denominator.
Determining the percentage of a value is simple.
Example: A classroom has 35 students out of which 25% students failed in the math exam. How many pupils failed the math exam?
The question is asking to calculate 25% of the 35.
**Step 1: Write % as a Fraction**-
The first step is to write the percentage as a fraction with 100 as its denominator.
25% = 25/100
**Step 2: Multiply Fraction with Value**- The next step is to multiply the fraction created with the given value.
25/100 × 35
**Step 3: Simplify the Final Fraction**- Simplify the final fraction that you get after multiplying the percentage fraction with the value. Convert it into a whole number or a decimal value by division and it will be the final answer.

### Printable Worksheets And Lessons

- Buying Soap Step-by-step Lesson- Find the best unit price on Soap. In our State retailers have to list the unit price. Wow does it save you!

- Guided Lesson - We tackle a number of everyday problems. We go to the book and handbag shop. We also do some banana math.

- Guided Lesson Explanation - Again, I use ratios in quotient format to make it easier to understand.

- Practice Worksheet - These problems help it to sink in for students. As they say to themselves, "Yes, I am in 6th grade!"

- Matching Worksheet - This worksheet is great to get you prepared for the department store sales.

#### Homework Sheets

We are basically figuring out unit cost here for all the sheets.

- Homework 1 - Which fruit is the best buy?
- Homework 2 - Which book is the best buy?
- Homework 3 - Which case of hair conditioner is the best buy?

#### Practice Worksheets

The practice sheets are much more involved than the homework sheets. They might need help with some vocabulary.

- Practice 1 - George went to the flower shop. There he bought five flowers at the cost of $275. He sold a flower to his friend and got 20% of his money back. How much money did he charge his friend for the flower?
- Practice 2 - Andrew has a canoe shop. Each canoe costs $500. Andrew is having a 20% off sale on all canoes. What is the cost of a canoe now?
- Practice 3 - Mary has 45 ice cream cups. She gives 20% of the ice cream cups to her sisters. Write the number of ice cream cups that she gave to her sisters.

#### Math Skill Quizzes

The first quiz covers all areas of the skill. The last two focus on the essence of the raw skill.

- Quiz 1 - In November, Jeffry brought ten dresses for $2,200. But one of them he gave to his friend and she paid him 35% of the total cost of all the dresses. How much did his friend give him?
- Quiz 2 - What is - 35% of 80?
- Quiz 3 - Maria bought a pair of sunglasses for $300 and she got a 15% discount on them. What is the total amount of the discount?