Question

What percent of $5kg$ is $200g$?

Answer 1

Hint: First, we need to know about the concepts of the percentage, so that we are able to solve the given problem easily. The percentage is the mathematical concept which is to measure the proportion of the given values in any term of the original value. The percentage is a relative value that indicates the hundredth parts of any quantity.
Like $70\% $ of $40$ is $28$. This can be obtained by $40 \times \dfrac{{70}}{{100}} = 28$ where $70$ represents the percent, $40$ is the base and $28$ is the part.

Complete step-by-step solution:
Since they ask What percent of $5kg$ is $200g$. So, we need to find the unknown value which makes the percent of $5kg$ is $200g$.
Also, we need to know about the concept of kilograms into grams. This is expressed as in the form of $1kg = 1000g$ also we can able to convert this to find the grams to kilograms $1g = \dfrac{1}{{1000}}kg$
Hence convert the given kilograms into grams we have $5kg = 5000g$ (we convert that to one form, because also the other given is in the form of grams)
Let us find the unknown value as $x\% $ then which makes percent of $5kg$ is $200g$ can be represented mathematically as $\dfrac{x}{{100}} \times 5000g = 200g$ (by percentage formula)
Hence further solving we have,
$\dfrac{x}{{100}} \times 5000g = 200g$
$ \Rightarrow x \times 50g = 200g$
Then by division we get,
$x = \dfrac{{200}}{{50}}g $
$x= 4\%$
Hence the unknown value is $4$ and thus $4$ percent of $5kg$ is $200g$

Note: The operations which we used in the solutions are multiplication and division.
The multiplication is the process of product of the given numbers like $2 \times 3 = 6$ or also represented as $2 + 2 + 2(3times) = 6$ . The division is the inverse process of the multiplication which has a dividend and divisor. Also, we get the remainder while dividing the given two numbers.