1. Unit 6: Percents

2. Unit 6 –Percent of a Number

3. A Special Proportion…
𝐏𝐚𝐫𝐭 𝐓𝐨𝐭𝐚𝐥 = % 𝟏𝟎𝟎

4. Percent of a Number Example
Method 1:
Multiply the % by the number
Method 2:
Use the special proportion
Step 1 – Write the percent over 100 and multiply by the number
𝟐𝟎 𝟏𝟎𝟎 ×𝟓𝟎
Step 2 – reduce if possible
Step 3 – multiply
x = 10
𝐩𝐚𝐫𝐭 𝐰𝐡𝐨𝐥𝐞 = % 𝟏𝟎𝟎
𝐱 𝟓𝟎 = 𝟐𝟎 𝟏𝟎𝟎
100x = 1000
x = 10 10 1 2 1

5. Percent of a Number Example
Method 1:
Multiply the % by the number
Method 2:
Use the special proportion
Step 1 – Write the percent over 100 and multiply by the number
𝟖 𝟏𝟎𝟎 ×𝟔𝟎
Step 2 – reduce if possible
Step 3 – multiply
x = 𝟐𝟒 𝟓 x = 𝟒 𝟒 𝟓
𝐩𝐚𝐫𝐭 𝐰𝐡𝐨𝐥𝐞 = % 𝟏𝟎𝟎
𝐱 𝟔𝟎 = 𝟖 𝟏𝟎𝟎
100x = 480
x = 4.8 3 5

6. Percent of a Number Example
Method 1:
Multiply the % by the number
Method 2:
Use the special proportion
Step 1 – Write the percent over 100 and multiply by the number
𝟖𝟎 𝟏𝟎𝟎 ×𝟏𝟐𝟎
Step 2 – reduce if possible
Step 3 – multiply
x = 96
𝐩𝐚𝐫𝐭 𝐰𝐡𝐨𝐥𝐞 = % 𝟏𝟎𝟎
𝐱 𝟏𝟐𝟎 = 𝟖𝟎 𝟏𝟎𝟎
100x = 9600
x = 96 16 6 5 1

7. Percent of a Number Independent Practice
Use either method to find the percent of each number.
38% of 300
200% of 10
What number is 25% of 160?
What number is 59% of 20?
114 20 40
11.8

8. Percent of a Number in Word Problems Example
Of the 450 students at Miller Middle School, 38% ride the bus to school. How many students ride the bus to school?
𝐱 𝟒𝟓𝟎 = 𝟑𝟖 𝟏𝟎𝟎
100x = 17100
x = 171 students ride the bus

9. Percent of a Number in Word Problems Example
In 2004, there were 19,396 bulldogs registered by the American Kennel Club. Approximately 86% of this number were registered in About how many bulldogs were registered in 2003?
𝐱 𝟏𝟗,𝟑𝟗𝟔 = 𝟖𝟔 𝟏𝟎𝟎
100x = 1,668,056
x = 16,681 bulldogs