Answer
Verified
337.5k+ views
Hint: The question asks us to find what percent of 12 is 3. The best way to solve such questions is to assume the unknown quantity as $x$ and formulate the correct equation. Let’s assume that $x\% $ of 12 is 3. We have to convert the percentage into a fraction and then solve the equation to get the answer.
Complete step by step answer:
By definition, percentage means percent or number of parts of something in its 100 parts.Here, we are asked to find out what percentage of 12 is 3. Let’s consider $x\% $ of 12 is 3.After converting $x\% $ into fraction we get:
$\dfrac{x}{{100}}$
Now we find $x\% $ of 12:
$\dfrac{x}{{100}} \times 12$
The above value is equal to 3. Hence, after formulating the equation, we get:
$\dfrac{x}{{100}} \times 12 = 3$
After simplifying the equation, we get:
$\dfrac{x}{{100}} \times 4 = 1$
$\therefore x = \dfrac{{100}}{4} = 25$
Hence, 3 is 25% of 12.
Note: When we deal with percentages, we have to remember that it is a dimensionless quantity. While converting a fraction into percentage, we divide it with 100 (per cent). While converting percentage into fraction we multiply it with 100. The main task is to understand the question and formulate the correct equation, solving it will give you the answer.
Complete step by step answer:
By definition, percentage means percent or number of parts of something in its 100 parts.Here, we are asked to find out what percentage of 12 is 3. Let’s consider $x\% $ of 12 is 3.After converting $x\% $ into fraction we get:
$\dfrac{x}{{100}}$
Now we find $x\% $ of 12:
$\dfrac{x}{{100}} \times 12$
The above value is equal to 3. Hence, after formulating the equation, we get:
$\dfrac{x}{{100}} \times 12 = 3$
After simplifying the equation, we get:
$\dfrac{x}{{100}} \times 4 = 1$
$\therefore x = \dfrac{{100}}{4} = 25$
Hence, 3 is 25% of 12.
Note: When we deal with percentages, we have to remember that it is a dimensionless quantity. While converting a fraction into percentage, we divide it with 100 (per cent). While converting percentage into fraction we multiply it with 100. The main task is to understand the question and formulate the correct equation, solving it will give you the answer.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Change the following sentences into negative and interrogative class 10 english CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Application to your principal for the character ce class 8 english CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE