Question

What percent is $70$ of $80$?

Answer 1

Hint: A Percentage is a part or share of a whole; a number, quantity, cost, etc. expressed as if it were part of a total of one hundred. According to mathematics, a percentage is a number or ratio expressed as a fraction of $100$. The symbol of percentage is $\% $.

Complete step by step solution:
In order to find the percentage of $70$ out of $80$ firstly, we should know the formula of getting the percentage.
The formula for finding percentage is given below –
Percentage = $\dfrac{{Part}}{{Whole}} \times 100$
According to the question, we have the fraction $\dfrac{{70}}{{80}}$.
Now applying the formula –
Percentage = $\dfrac{{70}}{{80}} \times 100$
Now divide $70$ by $80$, we get
$\dfrac{{70}}{{80}} = .875$
Then, find percentage by multiplying it with $100$–
Percentage $ = 0.875 \times 100$
Percentage $ = 87.5\% $
Therefore, $87.5\% $ is $70$ of $80$.

Additional Information:
If there are not a hundred things, then we use percentage. It is used in order to compare it to $100$. In order to compare changes in the numerical quantities, we usually use percentage. It has no dimension and units are also not there.
Because of inconsistencies in use, it's not always obvious what a statistic refers to. The standard meaning of a "$10$ percent increase" or "$10$ percent fall" in a quantity is that it refers to the quantity's initial value. For example, if an item is initially priced at \[\$200\] and then increases by $10\%$ (a \[\$ 20\] increase), the new price is \[\$ 220\].

Note:
It is necessary to keep in mind that whenever you find a percentage, you have to keep the small number in the numerator part and the bigger number in the denominator part.