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Question

Question: How do you express \(\dfrac{{48}}{{60}}\) as a percentage?...

How do you express 4860\dfrac{{48}}{{60}} as a percentage?

Explanation

Solution

As we know that a percentage is a number or ratio expressed as a fraction of 100100 or as a ratio of any value to the whole value multiplied by 100100. 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. If the number is given in fraction then either we assume a percentage number or by conversing the fraction into decimal form then multiplying by 100100.

Complete step by step solution:
Here the given fraction is 4860\dfrac{{48}}{{60}}. Let the number is x%x\% . It can be written as
x100\dfrac{x}{{100}}.

Now to get the percentage we solve for xx, which means 4860=x100\dfrac{{48}}{{60}} = \dfrac{x}{{100}},

BY multiplying 100100 on both left hand side and right hand side we get: 4860100=x100100\dfrac{{48}}{{60}}*100 = \dfrac{x}{{100}}*100

480060=x \Rightarrow \dfrac{{4800}}{{60}} = x, which gives x=80x = 80. To get it in percentage form we have x100\dfrac{x}{{100}}, by putting the value of xx we get 80100=80%\dfrac{{80}}{{100}} = 80\% .

Hence the required answer is 80%80\% .

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 100100 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 100100 because the value of percentage is always fixed.

As for example, 20%20\% of 20002000is always 400400i.e. it is fixed but if we say that 85th85th percentile is 9090 then it means that if we scored above 9090then only we are better than others.