Finding a Percent of a Number

SPI 0606.2.6 Solve problems involving ratios, rates and percents.

100 Definition of Percent per Percent can be defined as a ratio that compares a number to 100 or “per one hundred.” per 100

Percents Have Equivalents in Decimals and Fractions 100 Do you know how to write 20% as a fraction and as a decimal

20 parts out of 100 or 20 hundredths. 20 % Means 20 parts out of 100 or 20 hundredths. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

Percents Have Equivalents in Decimals and Fractions Simplified Percent Decimal Fraction 20% .20 20 100 1 5 = = =

Copy the following slides into your notebook, while your teacher reads them aloud to you!

How to Find the Percent of a Whole Number The first thing to remember is “of” means multiply in mathematics. of x =

How to Find the Percent of a Whole Number Step 1 - When you see a percent problem you know when you read “of” in the problem you multiply. x 25% of 200

How to Find the Percent of a Whole Number Step 2 – Change your percent to a decimal and then move it two places to the left. . . 25% x 200

How to Find the Percent of a Whole Number Step 3 – Multiply just like a regular decimal multiplication problem. 200 x . 25 1000 +400 5000

How to Find the Percent of a Whole Number Step 4 – Place the decimal point 2 places to the left in your answer. 200 x . 25 1000 +400 . 5000

What is the percent of this number? . 20 % of 820 . x 820 x . 20 000 +1640 . 16400

Your Turn ! See if you can solve the following problems and then check your answers

What is the percent of this number? . x 40 % of 725 . 1 2 725 x . 40 000 +2900 . 29000

What is the percent of this number? . x 60 % of 692 . 5 1 692 x . 60 000 +4152 . 21520

Let’s see how we will do with a word problem

On Saturday, Alma made 70% of the sales at a store where she works On Saturday, Alma made 70% of the sales at a store where she works. The total amount of sales at the store on Saturday was $910. What was Alma’s total amount of sales on Saturday?

What is the percent of this number? 910 x . 70 000 +6370 . 63700

Outstanding Work! Your teacher will provide you with a worksheet that includes additional problems for you to solve