# Worksheet on Expressing Percent | Expressing Percent Worksheet with Solutions

Do you want to know more about the concept of Expressing Percentage? Then the Worksheet on Expressing Percent helps you to know more about expressing percentages by providing solved examples. Expressing Percentage means the percentage will be expressed in terms of fractions or decimals or in ratio. In the below sections, you will find different questions on Expressing Percent.

To Express Percentage, we will convert a fraction into a percentage. We will divide the numerator of the fraction by the denominator of the fraction, and we will multiply the result by 100. Then we will get the result in a percent. To know more about details on finding the percentage of a number, conversion from percentage to decimal, fraction, or ratio you can refer to Percentage Worksheets. In the below, we can see the solved examples.

1. Solve the following fractions as a percentage:

(i) 8/50
(ii) 20/125
(iii) 9/45

Solution:

(i) 8/50
We will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (8/50 × 100) %
= 16 %.

(ii) 20/225

We will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (20/225 × 100) %
= 8.89 %.

(iii) 9/45

We will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (9/45 × 100) %
= 20 %.

2. Covert each of the following percentage as the ratio in the least form:

(i) 60 %

(ii) 125 %

(iii) 240 %

Solution:

(i) 60 %

We will convert Percentage into Ratio, then we will divide the percentage by 100
= 60/100
reduce the given fraction into the simplest form
= 3/5
and then we will write the number with a ratio sign. On simplifying, we will get
= 3:5.

(ii) 125 %

We will convert Percentage into Ratio, then we will divide the percentage by 100
= 125/100
reduce the given fraction into the simplest form
= 5/4
and then we will write the number with a ratio sign. On simplifying, we will get
= 5:4.

(iii) 240 %

We will convert Percentage into Ratio, then we will divide the percentage by 100
= 240/100
reduce the given fraction into the simplest form
= 12/5
and then we will write the number with a ratio sign. On simplifying, we will get
= 12:5.

3. Convert the following percent as decimals:

(i) 8%

(ii) 45%

(iii) 12.5%

Solution:

(i) 8%
The given percent is 8%, and we will divide the given value with 100
= 8/100
on solving, we will get the result in decimals
= 0.08

(ii) 45%

The given percent is 8%, and we will divide the given value with 100
= 45/100
on solving, we will get the result in decimals
= 0.45

(iii) 12.5%

The given percent is 12.5%, and we will divide the given value with 100
= 12.5/100
on solving, we will get the result in decimals
= 0.125

4. Smith spends 24% on his monthly income. Express this in decimals?

Solution:

Smith spends 24% of his income,
to express in decimals, we will divide by 100,
24/100
on solving, we will get the result in decimals
0.24

5. The laptop was marked at a price of \$25,000 and decreased to \$20,000. Find the percentage decrease?

Solution:

The original price of the laptop is \$25,000,
and decreased to \$20,000,
Amount decreased is \$25,000 – \$20,000
which is \$5,000.
the percentage decreased is 5,000/25,000 × 100
= 20%.

6. In an examination the pass percentage is 85 %. The number of students who fail is 300, Find the total number of students.

Solution:

Let the number of students be X,
the total number of students failed are 300,
the pass percentage of the class is 85%,
and the failure percentage is 100-85,
which is 15%, so
15/100 × X = 300,
on solving, we will get
2,000.
The total number of students is 2,000.