Question

How do you write $92\%$ as a decimal ?

Answer 1

We use the concept of the percentage to find the proportion of the amount of a substance to a larger sum of substance. The percentage is represented by the symbol "%".
In mathematics, when a number or ratio is expressed as a fraction of 100, we get the percentage. In everyday life, the percentage is most important in financial aspects. By dividing the given percentage by 100, the percentage is converted into fraction form or decimal form, like 1% in fraction form is $\left( {\dfrac{1}{{100}}} \right)$ and in decimal form is 0.01.
We are given a percentage in this question and we have to express it as a decimal. So, we can do so by following the above steps.

Complete step by step answer:
The given question requires us to convert $92\%$ into fraction. We have to first convert the percentage into fraction and then change it into decimal expansion.
On dividing $92\%$ by $100$, we get $\dfrac{{92}}{{100}}$
Hence, $92\%$ in the fraction is $\dfrac{{92}}{{100}}$.
Now, we have to change the fraction into the decimal expression.
So, $\dfrac{{92}}{{100}} = 0.92$
Hence, $92\%$ can be represented as decimal expression as $0.92$ .

Note: We write the percentage in statement form as: “x percent of some amount”. A Fraction is divided into two parts by a horizontal line. The part above the line is called the numerator and the part below the line is called the denominator. For example, let 2000 be the whole amount. So, it is represented by $100\%$. Now, if we have to find $50\%$ of this amount, then it can be calculated by using the unitary method in which we first calculate $1\%$ and then multiply by the desired percentage.