Question
Question: How do you express \(\dfrac{{48}}{{60}}\) as a percentage?...
How do you express 6048 as a percentage?
Solution
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. 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 100.
Complete step by step solution:
Here the given fraction is 6048. Let the number is x%. It can be written as
100x.
Now to get the percentage we solve for x, which means 6048=100x,
BY multiplying 100 on both left hand side and right hand side we get: 6048∗100=100x∗100
⇒604800=x, which gives x=80. To get it in percentage form we have 100x, by putting the value of x we get 10080=80%.
Hence the required answer is 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 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 2000is always 400i.e. it is fixed but if we say that 85th percentile is 90 then it means that if we scored above 90then only we are better than others.