Question

What percent of 880 is 220?

Answer 1

Hint: Percent means the value out of 100. Therefore x percent or $x\%$ can be written as $\dfrac{x}{100}$ . To find the percent of a number, we just need to follow the simple formula of calculating the percent, which is x percent equals to the division of a number out of which we want a percent, that is \[x\%=\dfrac{\text{value of which we need percent}}{\text{total value we have}}\]. Applying it in our question we will get that 220 of which we need to calculate percent out of the value which is 880.

Complete step by step solution:
According to the question, we have been asked to calculate what percent of 880 is 220.
So, going with the formula to calculate the percent, which is x percent equals to the division of a number out of which we want a percent, that is
\[x\%=\dfrac{\text{value of which we need percent}}{\text{total value we have}}\]
Now, we will put the values. Therefore, we get
$x\%=\dfrac{220}{880}$
As percent is the value out of 100, so we can write it further as
$\dfrac{x}{100}=\dfrac{220}{880}$
By cross multiplying the left side and right side of the equation. Therefore, we get
\[\begin{align}
  & \Rightarrow x\left( 880 \right)=100\left( 220 \right) \\
 & \Rightarrow 880x=22000 \\
\end{align}\]
And, we can further write it as
\[\begin{align}
  & \Rightarrow x=\dfrac{22000}{880} \\
 & \Rightarrow x=\dfrac{2200}{88} \\
 & \Rightarrow x=\dfrac{200}{8} \\
 & \Rightarrow x=\dfrac{100}{4} \\
 & \Rightarrow x=25 \\
\end{align}\]
So x comes out to be 25. Which means the \[220\] is \[25\%\] or it is $\dfrac{25}{100}$ of 880.
Hence \[220\] is \[25\%\] of 880.

Note: As percent is the value out of 100, so keep in mind to divide it by 100. Moreover, the main value is good to say the out of value, out of which value we need to find percent should be in the denominator, and the value of which we need to find percent should be in the numerator.