Question

What is the percent of decrease from 110 to 77?

Answer 1

Hint: To obtain the percent of decrease from 110 to 77 we will use change in the number process. Firstly we will subtract the smaller number from the bigger than then we will divide the value obtained by the original value. Finally we will multiply the fraction obtained by 100 and simplify it and add percent sign to the final answer.

Complete step-by-step answer:
We have to find the percent of decrease from 110 to 77.
So we will use the formula below:
Change/Original$\times 100\%$…..$\left( 1 \right)$
Where,
Change = Bigger Value – Smaller Value
Original = Original value
As we know we have to find the percent of decrease from 110 to 77 so we get the values as:
Original$=110$….$\left( 2 \right)$
Change =$110-77$
Change $=33$…..$\left( 3 \right)$
Substitute value from equation (2) and (3) in equation (1) and simplify to get,
$\begin{align}
  & = \dfrac{33}{110}\times 100\% \\
 & = \dfrac{3}{10}\times 100\% \\
 & = 3\times 10\% \\
 & = 30\% \\
\end{align}$
So we get the percent as $30\%$
Hence, percent of decrease from 110 to 77 is $30\%$.

Note: The term percentage is a number or a ratio which is expressed as a fraction of 200. The sign used to denote it is $\%$. We can also express it in decimal form which is used in many real life situations. The percentage value can never be zero that is the reason we multiply smaller values from bigger values. The only difference that is to be seen is whether there is a percent increase in the value of percent decrease which is easily interoperated by the values given.