Question

What is 6.5% of 400?

Answer 1

Hint: Here in this question we will use the percentage concept. First of all we will replace the percentage sign with $\dfrac{1}{{100}}$ and then replace ‘of’ with a multiplication sign and then will simplify further.

Complete step-by-step answer:
Here we will use the percentage method.
For example: $A\% = \dfrac{A}{{100}}$
So the given statement is $6.5\% $ of 400. Now we will replace the percentage sign and ‘of’ with a multiplication sign.
$ \Rightarrow \dfrac{{6.5}}{{100}} \times 400$
Now we will remove decimal by placing 10 in the denominator and solving further.
$ \Rightarrow \dfrac{{65}}{{1000}} \times 400$
Now we will cancel two zeroes from numerator and denominator.
$ \Rightarrow \dfrac{{65}}{{10}} \times 4$
Now we will multiply the numerator term with 4 and then we will cancel the zeros of numerator and denominator.
$ \Rightarrow \dfrac{{260}}{{10}} = 26$

Therefore $6.5\% $ of 400 is 26.

Additional Information:
Here we will see how a fraction can be converted into a percentage.
Fraction can be represented by $\dfrac{a}{b}$
Multiplying and dividing the fraction by 100, we will get
$ \Rightarrow \dfrac{a}{b} \times \dfrac{{100}}{{100}}$
Now taking one 100 with a fraction part and another outside the bracket.
$ \Rightarrow (\dfrac{a}{b} \times 100)\dfrac{1}{{100}}$
As per the definition of percentage $\dfrac{1}{{100}} = 1\% $
Therefore the fraction can be written as $(\dfrac{a}{b} \times 100)\% $ . So fraction can be converted into percentage and similarly percentage can also be converted into fraction.

Note: Percentage is a number or ratio that represents a fraction of 100.It is a number having no unit and dimensions. Be careful when converting from percentage and converting to percentage .When converting to percentage multiply by 100 and when converting from percentage divide by 100. Percentage approach is the easiest and the fastest approach that we can apply on such types of questions.