Question

What percent of 1200 is 750?

Answer 1

Hint: We need to find what is 750 as the percent of 1200. Firstly, we start to solve the problem by considering the percentage as $x\%\;$ . Then, we find out the value of x by dividing the product of 750 and 100 by 1200 to get the desired result.

Complete step-by-step solution:
Let the value of the percent of 1200 that is 750 be $x\%\;$
We are asked to find out of x. We will be solving the given question by dividing the product of 750 and 100 by 1200 to find the value of x.
A percentage is a value expressed as a fraction of a hundred or $\dfrac{1}{100}$ . It is denoted by the symbol ’$\%\;$’. The value expressed as a percentage does not have any dimension or unit of measurement.
For Example:
$\Rightarrow 2\%,3\%$
According to the question,
The word percent means ‘per hundred’.
In our case, the total percentage is 1200.
From the above,
The value of 1200 is equal to $100\%\;$
We need to find what percent of 1200 is 750.
Writing the above lines in the form of the equation, we get,
$\Rightarrow 1200=100\%$
$\Rightarrow 750=x\%$
Here, we perform cross multiplication to find out the value of x. On cross multiplying, we get,
$\Rightarrow x\%=\dfrac{750\times 100\%}{1200}$
Canceling the common factors, we get,
$\Rightarrow x\%=\dfrac{5}{8}\times 100\%$
Simplifying the above expression, we get,
$\Rightarrow x\%=0.625\times 100\%$
$\therefore x\%=62.5\%$
$\therefore$ $62.5\%\ $ of 1200 is 750.

Note: The given question can be solved alternatively as follows,
A particular quantity can be expressed as the percentage of the other by simply multiplying the fraction of the quantity by $100\%\;$
In our case,
Fraction $=\dfrac{750}{1200}$
$\Rightarrow fraction\times 100\%$
Substituting the value of the fraction in the above expression, we get,
$\Rightarrow \dfrac{75}{1200}\times 100\%$
$\Rightarrow 62.5\%$