How to find percentage

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ISEE Middle Level Quantitative Reasoning › How to find percentage

Questions 1 - 10
1

77% can also be writen as ________.

Explanation

To convert a percentage into a decimal, divide the number by 100.

Instead of doing long division, simply pretend there is a decimal point at the end of the number, and then move the decimal point two places to the left.

You can think of 77 as 77.0 (or 77. - the zero doesn't matter). Now move the decimal point two places to the left.

Answer:

2

What is 0.036 as a percent?

Explanation

Method 1:

Rewrite 0.036 as a fraction:

Because percents are based on 100, divide the numerator and denominator by 10.

3.6%

Method 2:

Multiply

To multiply by 100, move the decimal point two places to the right; then add the percent sign:

3.6% is the correct answer.

3

A plane ticket is on sale for 25% its original price of $300.00. What is the sale price of the plane ticket?

Explanation

First, multiply:

Then, subtract that amount from the original price:

Answer: The plane ticket is on sale for

4

85 is what percent of 400?

Explanation

Set up the proportion statement, where is our answer, and solve:

5

Find the decimal equivalent of .

Explanation

To solve, divide:

Answer:

6

Convert to a decimal.

Explanation

Divide the percentage by 100, or move the decimal point two places to the left:

Answer:

7

What is the decimal equivalent of ?

Explanation

Divide:

Answer:

8

There is a total of 50 houses in a neighborhood. 20 of the houses have red roofs and 15 of the houses have black roofs. The rest of the houses have green roofs. What percentage of the houses have green roofs?

Explanation

If there are a total of 50 houses and the total of red and black roofed houses is 35, there must be 15 green houses in this neighborhood.

To figure out what percentage a number makes up of any larger amount, divide the part by the whole. Since there are 15 green roofed houses, you should divide 15 by 50.

When you multiply the decimal by 100, your result will be the percentage the smaller number makes up of the larger amount.

Therefore, the answer is 30%

9

The cost of a magazine subscription has been reduced by 15%. What is the current price, if the original price was $45.00?

Explanation

First, multiply the original price by the percentage:

Then, subtract that amount from the original price:

Answer: The magazine subscription currently costs $38.25.

10

Assorted 1

Examine the above shapes. Which is the greater quantity?

(a) The percent of the shapes that are squares

(b) 50%

(a) and (b) are equal

(b) is the greater quantity

(a) is the greater quantity

It is impossible to determine which is greater from the information given

Explanation

There are twelve shapes; 50% of them is shapes.

Of the twelve shapes, six are squares - therefore, the percent of the figures that are squares is 50%, and the quantities are equal.

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