- Home
- >
- Percentage of a Number – Explanation & Examples

JUMP TO TOPIC

# Percentage of a Number – Explanation & Examples

Well,

The terms percent and percentage are interchangeably used in many situations, but do they mean the same thing?

**percent and percentage are slightly different in their usage**but they have a similar meaning. Percent or the sign (%) is normally used accompanied by a numerical value.

**For example**, we can say, 95 percent or 95% of the students are bright. Percentage on the other hand is generally used without a number to refer to the word percent. For example, we state that, the percentage of bright students is 95%.

**The percentage term**was not very old but the method was common. When there was no decimal system, the Ancient Romans used to do calculations of fractions as the multiples of 1/100. For example, they imposed taxes on goods give by the fraction 1/100, which is equivalent to computing percentages. Later in the Middle Ages, the use of 1/100 fraction became more common.In the 17

^{th}century, a standard was set to quote interest rates as 1/100. After its frequent use, the mathematicians abbreviated it as “pc” in 14

^{th}century. Later came the term “per”, and finally in 1925, D.E. Smith gave it a symbol form (%).

## What is the Percentage of a Number?

**Percentage in mathematics is a number or ratio which can be represented as a fraction of 100. The term per cent originates from a Latin word ‘per centum’ which means per 100. The symbol (%) is used to denote percentage.**Similarly, percentage is sometimes denoted by an abbreviation ‘pct.’ For example, we can express 50 percent as 50% or 50 pct. Percentages are written inform whole numbers, fractions or decimals. For example, 4%, 75%, 0.6%, 0.25%, 3/5% etc. are all percentages.

*Percentages are part of our daily lives in the following examples:*

- Discounts on commodities are represented in percentages
- Financial institutions such as banks and SACCOS express the interest charged on loans in form of percentages.
- Profits and losses are calculated in percentages
- In academics, percentages are used to evaluate the performance of students
- The values goods such cars and a piece of land changes with time. This can be represented inform of percentages.

## How to Calculate Percentage?

**There are two possibilities of finding the percentage of a number:**

- To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%.
- The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100. For example, to find the percentage of 1/6: 0.1666 x 100 = 16.7%.

*Example 1*

*Example 1*

**Calculate the percentages of the following:**

*1. 25 of 200?*__Solution__

(25/200) × 100
Divide the numerator by denominator;
= (1/8) × 100
= (1 × 100)/8
= 100/8
= 25/2
= 12 .5 %

*2. 95 out of 150?*__Solution__

(95/150) × 100
Simplify the fraction and multiply by 100
= (19/30) × 100
= (19 × 100)/30
= 1900/30
reduce the fraction;
= 63 ^{1}/

_{3}%

**3. 22 of 44?**__Solution__

(22/44) × 100
Simplify the fraction;
= (1/2) × 100
= (1 × 100)/2
= 100/2
= 50%

**4. 30 of 150?**__Solution__

(30/150) × 100
Simplify the fraction;
= (1/5) × 100
= (1 × 100)/5
= 100/5 = 20%

*5. 250 of 1200?*__Solution__

(250/1200) × 100
Cancel the numerator and denominator;
= (5/24) × 100
= (5 × 100)/24
= 500/24 = 125/6
= 20 ^{5}/

_{6}%

**6. 86 of 2580?**__Solution__

(86/2580) × 100
simplify the fraction by cancelling;
= (1/30) × 100
= (1 × 100)/30
= 100/30
reduce the fraction;
10/3
= 3 ^{1/}

_{3}%

*Example 2*

A class has a total of 120 students. Calculate the percentage of girls if they are 60 of them?*Example 2*

__Solution__

Total number of students in the class = 120Total number of girls = 60Therefore, the percentage of girls is calculated as:(60 × 100)/120= 600/12 = 50Hence, 50% of the students are girls.**Example 3**

150 students are present in the school auditorium. If the number of boy and girls present in the hall is 80 and 70 respectively. Calculate the percentage of boys present in the auditorium?__Solution__

Total number of students present in the auditorium = 150Number of boys = 80Percentage of boys = (80 x 100)/150= 53.33%## Practice Questions

## Percentage of a Number List

Below is the list of **Percentages **of various numbers. The solution is just one click away.

What is 30 percent of 2000

What is 30 Percent of 15000

What is 10 Percent of 1000000

What is 15 Percent of 10000

What is 10 Percent of 80

What is 3.5 Percent of 400000

What is 15 Percent of 20000

What is 70 Percent of 30

What is 10 Percent of 20000

What is 2 Percent of 10000

What is 5 Percent of 25000

What is 40 Percent of 400

What is 10 Percent of 4000

What is 30 Percent of 30000

What is 75 Percent of 50

What is 10 Percent of 300000

What is 10 Percent of 2500

What is 30 Percent of 5000

What is 30 Percent of 10000

What is 5 Percent of 500000

What is 5 Percent of 200000

What is 15 Percent of 60000

What is 20 Percent of 40000

What is 5 Percent of 350000

What is 20 Percent of 15000

What is 5 Percent of 15000

What is 25 Percent of 1000

What is 40 Percent of 3000

What is 10 Percent of 90000

What is 20 Percent of 900

What is 2.5 Percent of 100

What is 30 Percent of 450

What is 40 Percent of 100

What is 30 Percent of 180

What is 15 Percent of 240

What is 25 Percent of 120

What is 20 Percent of 7000

What is 6 Percent of 1000

What is 80 Percent of 500

What is 5 Percent of 1200

What is 15 Percent of 400

What is 40 Percent of 500

What is 15 Percent of 1500

What is 60 Percent of 60

What is 5 Percent of 250000

What is 10 Percent of 120

What is 2 Percent of 500

What is 25 Percent of 150

What is 10 Percent of 25000

What is 50 Percent of 100

What is 10 Percent of 250

What is 12 Percent of 30000

What is 1 Percent of 500

What is 40 Percent of 800

What is 5 Percent of 2500

What is 15 Percent of 2500

What is 30 Percent of 280

What is 20 Percent of 250000

What is 60 Percent of 500

What is 20 Percent of 500000

What is 5 Percent of 4000

What is 20 Percent of 18000

What is 20 Percent of 35000

What is 75 Percent of 30

What is 30 Percent of 1200

What is 40 Percent of 150

What is 5 Percent of 300000

What is 14 Percent of 50

What is 60 Percent of 300

What is 7 Percent of 2000

What is 80 Percent of 200

What is 1.5 Percent of 1000

What is 3.5 Percent of 250000

What is 12 Percent of 25000

What is 60 Percent of 1200

What is 1.5 Percent of 100

What is 10 Percent of 70

What is 10 Percent of 1800

What is 10 Percent of 90

What is 40 Percent of 75

What is 15 Percent of 10000

What is 60 Percent of 2000

What is 60 Percent of 40

What is 3.5 Percent of 150000

What is 25 Percent of 1500

What is 40 Percent of 2000

What is 20 Percent of 700000

What is 70 Percent of 40

What is 40 Percent of 1000

What is 30 Percent of 4000

What is 40 Percent of 10000

What is 20 Percent of 1400

What is 12 Percent of 20000

What is 50 Percent of 150

What is 75 Percent of 16

What is 75 Percent of 60

What is 12 Percent of 1000

What is 60 Percent of 1500

What is 3.5 Percent of 300000

What is 10 Percent of 400000

What is 10 Percent of 100000000

What is 15 Percent of 1200

What is 15 Percent of 150

What is 75 Percent of 48

What is 14 Percent of 200

What is 35 Percent of 70

What is 70 Percent of 150

What is 20 Percent of 350

What is 30 Percent of 140

What is 20 Percent of 50000

What is 60 Percent of 180

What is 30 Percent of 70

What is 30 Percent of 1300

What is 70 Percent of 120

What is 50 Percent of 50

What is 5 Percent of 240

What is 40 Percent of 180

What is 60 Percent of 5000

What is 30 Percent of 750

What is 10 Percent of 3500

What is 50 Percent of 80

What is 25 Percent of 125

What is 60 Percent of 110

What is 25 Percent of 4000

What is 3 Percent of 1400

What is 60 Percent of 140

What is 60 Percent of 3000

What is 35 Percent of 180

What is 25 Percent of 3000

What is 80 Percent of 80

What is 80 Percent of 30

What is 75 Percent of 200

What is 40 Percent of 35

What is 70 Percent of 80

What is 2.5 Percent of 80000

What is 50 Percent of 8

What is 20 Percent of 240

What is 18 Percent of 50

What is 20 Percent of 90000

What is 10 Percent of 6000

What is 70 Percent of 100

What is 25 Percent of 8

What is 30 Percent of 130

What is 4 Percent of 5000

What is 3 Percent of 4000

What is 50 Percent of 600

What is 90 Percent of 30

What is 75 Percent of 180

What is 60 Percent of 360

What is 20 Percent of 100

What is 3 Percent of 2500

What is 0.05 Percent of 1000

What is 3 Percent of 3500

What is 3 Percent of 30000

What is 80 Percent of 90

What is 50 Percent of 250

What is 20 Percent of 220

What is 20 Percent of 10000

What is 20 Percent of 200000

What is 20 Percent of 1500

What is 70 Percent of 60

What is 8 Percent of 100

What is 12.5 Percent of 40

What is 45 Percent of 600

What is 60 Percent of 35

What is 12 Percent of 400

What is 5 Percent of 450

What is 3 Percent of 400

What is 25 Percent of 28

What is 20 Percent of 230

What is 25 Percent of 16

What is 3 Percent of 800

What is 90 Percent of 50

What is 45 Percent of 120

What is 5 Percent of 150

What is 25 Percent of 15

What is 2 Percent of 2000