Question

How do you convert $3\dfrac{6}{{10}}$ into a percent and decimal ?

Answer 1

Hint: As we know that a percentage is a number or ratio expressed as a fraction of $100$ or as a ratio of any value to the whole value multiplied by $100$. It is denoted by using the percent sign, $\% $. The abbreviations used to represent the percentage id “pct” or “pc”. A percentage is a dimensionless number means it has no unit of measurement. While we can define a decimal number as a number whose whole number part and fractional part is separated by a point and that point or dot is called a decimal point.

Complete step by step solution:
Here the given fraction is $3\dfrac{6}{{10}}$. It can be written as $\dfrac{{36}}{{10}}$. Let the number is $x\% $, and it can be expressed as $\dfrac{x}{{100}}$.
Now to get the percentage we solve for $x$, which means $\dfrac{{36}}{{10}} = \dfrac{x}{{100}}$,
BY multiplying $100$ on both left hand side and right hand side we get: $\dfrac{{36}}{{10}}*100 = \dfrac{x}{{100}}*100$
$ \Rightarrow \dfrac{{3600}}{{10}} = x$, which gives $x = 360$. To get it in percentage form we have $\dfrac{x}{{100}}$, by putting the value of $x$ we get $\dfrac{{360}}{{100}} = 360\% $.
Now to write the fraction in decimal form we have $3\dfrac{6}{{10}}$ i.e. $\dfrac{{36}}{{10}}$. So its decimal form is $3.6$.
Hence the required answer is $80\% $ in percentage form and $3.6$ in decimal form.

Note: We should always read carefully what the question is asking, percentage or percentile as both of them are different. A percentage is a number which is represented out of $100$ while a percentile is a percentage of a given value below which a specific number is found. Percentile is the variable and it is not out of $100$ because the value of percentage is always fixed. As for example, $20\% $ of $2000$ is always $400$ i.e. it is fixed but if we say that $85th$ percentile is $90$ then it means that if we scored above $90$ then only we are better than others.