How to find percentage

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SSAT Middle Level Quantitative › How to find percentage

Questions 1 - 10
1

What percent (%) of 50 is 30?

60%

30%

166%

50%

40%

Explanation

The original number in this problem is 50 and you must find the percentage of 30 from 50.

Another way to view this problem is what percentage of the original 50 equals 30.

Let x equal the percentage:

50(x) = 30

50x = 30

In order to change the decimal 0.6 to a percentage multiply by 100:

0.6 x 100 = 60%

2

A store normally sells a certain coat for $40. For the holidays it offers a sale where the new price of the coat is now $30. What percent discount is the store selling the coat for?

discount

discount

discount

discount

discount

Explanation

The coat is $10 cheaper than normal.

3

Hexagon

The above hexagon is divided into triangles of equal size. What percent of the hexagon is shaded in?

Explanation

7 of the 12 triangles - of the hexagon - is shaded in; this is

of the hexagon.

, so

4

What is the decimal form of 42.5%?

Explanation

This question is asking you to convert the percent into a decimal. When doing this, you must move the decimal point two spaces to the left. The answer is

5

is of .

is 2.5 % of .

What percent of is ?

Explanation

For the sake of simplicity, since this reasoning is independent of the actual value of , we will assume that . Then is of 100, or simply , and is 2.5% of 100, or simply 2.5. To find out what percent is of , evaluate:

6

If out of students have contact lenses, what percentage of students have contact lenses?

percent

percent

percent

percent

percent

Explanation

When dividing by , the reduced form is:

is the equivalent of percent, which is therefore the correct answer.

7

is 20% of and of .

What percent of is ?

Explanation

20% of a number is of that number, so . Equivalently,

of a number is of that number, so . Equivalently,

To find out what percent is of , evaluate:

.

8

Rectangle 1

The above rectangle is divided into squares of equal size. What percent of the rectangle is shaded in?

Explanation

8 of the 10 squares - of the rectangle - is shaded in, so

of rectangle is shaded.

9

Assorted 1

What percent of the above figures are circles?

Explanation

There are twelve figures, six of which are circles. This is

of the figures.

10

is 30% of and 60% of .

What percent of is ?

Explanation

is 30% of , so

is 60% of , so

To determine what percent of is, evaluate:

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