Question

What is \[20\%\text{ of }600\]?

Answer 1

Hint: Let us look for the real meaning of percentage to evaluate it, percentage is a number expressed out of 100. Percentage is a relative value indicating the hundredth part of a quantity. One percent which is symbolized as \[1\%\] is a hundredth part so we can say that 100 percent means that the entire entity and 200 percent means just double the entity.

Complete step by step solution:
Percentage is the most common way to analyse the data, mostly in schools to relate the grades of students, and in determining the growth and profit or loss in business, in economics for relating the data (mostly geographical data).
Percentage is considered to be a more appropriate method to relate any data because it measures the data relative to 100, so it is now no more necessary for us to know the exact statics, no matter how small or large the values we have in actual statics, percentage can relate it with 100.
Now let us come back to our question,
We need to find \[20\%\]of a quantity which is nothing but 600
Let’s have a look how do we find percentage,
Let’s say we need to find \[x\%\text{ of }any\text{ number say P}\]
So, \[\dfrac{x}{100}\times P\] is \[x\%\text{ of P}\]
So, using same formula to solve our question
\[20\%\text{ of }600\] = \[\dfrac{20}{100}\times 600\]
\[20\%\text{ of }600\]= \[120\]
So, we can say that \[20\%\text{ of }600\] is \[120\].

Note: Note that we have used a word 200 percent somewhere in the hint, but actually 200 percent is not a valid expression in mathematics, because percentage just relates a number with 100, but this expression can be used in real life to denote just double of the entire entity.