Solves percentage of using \[ c\%=b\times\frac{100}{a}\]
The term "percentage of " refers to a proportion or fraction of a whole expressed as a hundredth. It is often denoted by the symbol "%". When we talk about a percentage of something, we are referring to a part of a whole expressed as a fraction of 100.
c% = b * 100/a
Where,
a = original value
b= the percentage of, as part of the original value, a
c% = is the result to be computed.
This equation illustrate how to find the percentage of a given value and provide a variety of scenarios to practice this concept.
What percentage of 200 is 10?
Calculation
Using the formula
c% = (10 * 100/200)%
= (10 * 0.5)%
= 5 %
Hence, 10 is 5% of 200.
What percentage of 80 is 20?
Solution
To find the percentage, we can use the same formula :
20 = (c/100) * 80
Dividing both sides by 80 and multiplying by 100 gives:
0.25 = c/100
c = 0.25 * 100
c = 25%
Hence, 20 is 25% of 80.
What percentage of 50 is 10?
Solution
Following the same steps as before:
10 = (x/100) * 50
Dividing both sides by 50 and multiplying by 100 gives:
0.2 = x/100
x = 0.2 * 100
x = 20
Therefore, 10 is 20% of 50.
What percentage of 120 is 36?
Solution
Using the equation:
36 = (x/100) * 120
Dividing both sides by 120 and multiplying by 100 gives:
0.3 = x/100
x = 0.3 * 100
x = 30
So, 36 is 30% of 120.
Grade Conversion: In a class, a student scores 10 out of 150 on a test. To convert this score to a percentage, we can apply the percentage concept. By dividing the score by the total possible score and multiplying by 100:
(10/150) * 100 = 6.67%
Therefore, the student scored 6.67% on the test.
