Question

How do you write $1.6$ as a percentage?

Answer 1

Hint: Any decimal number can be converted into percentage using the percentage formula.
The percentage formula is used to find the share or amount of something in terms of 100.
The percentage formula is given by:
$Percentage = \dfrac{{Given\_value}}{{Total\_value}} \times 100$

Complete step-by-step solution:
To convert the given decimal number into a percentage follow to given steps-
STEP 1- Write the decimal number in the improper form.
We are required to convert $1.6$into a percentage. Therefore,
$1.6$ can also be written as $\dfrac{{16}}{{10}}$
STEP 2- Multiply both numerator and denominator with 100.
$ \Rightarrow \dfrac{{16}}{{10}} \times \dfrac{{100}}{{100}}$
On further solving we get
$ \Rightarrow 160$

Therefore , the required percentage value for $1.6$ is $160\% $.

Note:
The percent is a combination of two words:
Percent= per(every) + cent(100)
Therefore, percent or percentage is a selection of some, out of every 100 and is denoted by the symbol ‘%’.
Let’s suppose there is a chocolate and you want to eat its quarter part, meaning you first divide it into four equal parts and eat one part. In fraction you can say that you are selecting one part of chocolate from its four equal parts which can be expressed as $\dfrac{1}{4}$.
But to know this part in percentage, firstly you will have to divide this chocolate into 100 equal parts and count the part containing in the previous $\dfrac{1}{4}$th, you will get 25 pieces out of the total 100 pieces. So the new fraction is equal to $\dfrac{{25}}{{100}}$.
As in both ways we are selecting the same amount of chocolate so, $\dfrac{1}{4} = \dfrac{{25}}{{100}} = 25\% $.
Therefore, we may say “ percent/ percentage is the numerator of the fraction whose denominator is 100.”